diff --git a/ssl/d1_lib.c b/ssl/d1_lib.c
index e569b986bc..81de55af97 100644
--- a/ssl/d1_lib.c
+++ b/ssl/d1_lib.c
@@ -14,7 +14,6 @@
 #include "ssl_local.h"
 #include "internal/time.h"
 
-static void get_current_time(struct timeval *t);
 static int dtls1_handshake_write(SSL_CONNECTION *s);
 static size_t dtls1_link_min_mtu(void);
 
@@ -56,13 +55,13 @@ const SSL3_ENC_METHOD DTLSv1_2_enc_data = {
     dtls1_handshake_write
 };
 
-long dtls1_default_timeout(void)
+OSSL_TIME dtls1_default_timeout(void)
 {
     /*
      * 2 hours, the 24 hours mentioned in the DTLSv1 spec is way too long for
      * http, the cache would over fill
      */
-    return (60 * 60 * 2);
+    return ossl_seconds2time(60 * 60 * 2);
 }
 
 int dtls1_new(SSL *ssl)
@@ -222,6 +221,7 @@ int dtls1_clear(SSL *ssl)
 long dtls1_ctrl(SSL *ssl, int cmd, long larg, void *parg)
 {
     int ret = 0;
+    OSSL_TIME t;
     SSL_CONNECTION *s = SSL_CONNECTION_FROM_SSL_ONLY(ssl);
 
     if (s == NULL)
@@ -229,7 +229,8 @@ long dtls1_ctrl(SSL *ssl, int cmd, long larg, void *parg)
 
     switch (cmd) {
     case DTLS_CTRL_GET_TIMEOUT:
-        if (dtls1_get_timeout(s, (struct timeval *)parg) != NULL) {
+        if (dtls1_get_timeout(s, &t) != NULL) {
+            *(struct timeval *)parg = ossl_time_to_timeval(t);
             ret = 1;
         }
         break;
@@ -261,13 +262,14 @@ long dtls1_ctrl(SSL *ssl, int cmd, long larg, void *parg)
 
 void dtls1_start_timer(SSL_CONNECTION *s)
 {
-    unsigned int sec, usec;
+    struct timeval tv;
+    OSSL_TIME duration;
     SSL *ssl = SSL_CONNECTION_GET_SSL(s);
 
 #ifndef OPENSSL_NO_SCTP
     /* Disable timer for SCTP */
     if (BIO_dgram_is_sctp(SSL_get_wbio(ssl))) {
-        memset(&s->d1->next_timeout, 0, sizeof(s->d1->next_timeout));
+        s->d1->next_timeout = ossl_time_zero();
         return;
     }
 #endif
@@ -276,77 +278,46 @@ void dtls1_start_timer(SSL_CONNECTION *s)
      * If timer is not set, initialize duration with 1 second or
      * a user-specified value if the timer callback is installed.
      */
-    if (s->d1->next_timeout.tv_sec == 0 && s->d1->next_timeout.tv_usec == 0) {
-
+    if (ossl_time_is_zero(s->d1->next_timeout)) {
         if (s->d1->timer_cb != NULL)
             s->d1->timeout_duration_us = s->d1->timer_cb(ssl, 0);
         else
             s->d1->timeout_duration_us = 1000000;
     }
 
-    /* Set timeout to current time */
-    get_current_time(&(s->d1->next_timeout));
+    /* Set timeout to current time plus duration */
+    duration = ossl_us2time(s->d1->timeout_duration_us);
+    s->d1->next_timeout = ossl_time_add(ossl_time_now(), duration);
 
-    /* Add duration to current time */
-
-    sec  = s->d1->timeout_duration_us / 1000000;
-    usec = s->d1->timeout_duration_us - (sec * 1000000);
-
-    s->d1->next_timeout.tv_sec  += sec;
-    s->d1->next_timeout.tv_usec += usec;
-
-    if (s->d1->next_timeout.tv_usec >= 1000000) {
-        s->d1->next_timeout.tv_sec++;
-        s->d1->next_timeout.tv_usec -= 1000000;
-    }
-
-    BIO_ctrl(SSL_get_rbio(ssl), BIO_CTRL_DGRAM_SET_NEXT_TIMEOUT, 0,
-             &(s->d1->next_timeout));
+    tv = ossl_time_to_timeval(s->d1->next_timeout);
+    BIO_ctrl(SSL_get_rbio(ssl), BIO_CTRL_DGRAM_SET_NEXT_TIMEOUT, 0, &tv);
 }
 
-struct timeval *dtls1_get_timeout(SSL_CONNECTION *s, struct timeval *timeleft)
+OSSL_TIME *dtls1_get_timeout(SSL_CONNECTION *s, OSSL_TIME *timeleft)
 {
-    struct timeval timenow;
+    OSSL_TIME timenow;
 
     /* If no timeout is set, just return NULL */
-    if (s->d1->next_timeout.tv_sec == 0 && s->d1->next_timeout.tv_usec == 0) {
+    if (ossl_time_is_zero(s->d1->next_timeout))
         return NULL;
-    }
 
     /* Get current time */
-    get_current_time(&timenow);
-
-    /* If timer already expired, set remaining time to 0 */
-    if (s->d1->next_timeout.tv_sec < timenow.tv_sec ||
-        (s->d1->next_timeout.tv_sec == timenow.tv_sec &&
-         s->d1->next_timeout.tv_usec <= timenow.tv_usec)) {
-        memset(timeleft, 0, sizeof(*timeleft));
-        return timeleft;
-    }
-
-    /* Calculate time left until timer expires */
-    memcpy(timeleft, &(s->d1->next_timeout), sizeof(struct timeval));
-    timeleft->tv_sec -= timenow.tv_sec;
-    timeleft->tv_usec -= timenow.tv_usec;
-    if (timeleft->tv_usec < 0) {
-        timeleft->tv_sec--;
-        timeleft->tv_usec += 1000000;
-    }
+    timenow = ossl_time_now();
 
     /*
-     * If remaining time is less than 15 ms, set it to 0 to prevent issues
-     * because of small divergences with socket timeouts.
+     * If timer already expired or if remaining time is less than 15 ms,
+     * set it to 0 to prevent issues because of small divergences with
+     * socket timeouts.
      */
-    if (timeleft->tv_sec == 0 && timeleft->tv_usec < 15000) {
-        memset(timeleft, 0, sizeof(*timeleft));
-    }
-
+    *timeleft = ossl_time_subtract(s->d1->next_timeout, timenow);
+    if (ossl_time_compare(*timeleft, ossl_ms2time(15)) <= 0)
+        *timeleft = ossl_time_zero();
     return timeleft;
 }
 
 int dtls1_is_timer_expired(SSL_CONNECTION *s)
 {
-    struct timeval timeleft;
+    OSSL_TIME timeleft;
 
     /* Get time left until timeout, return false if no timer running */
     if (dtls1_get_timeout(s, &timeleft) == NULL) {
@@ -354,7 +325,7 @@ int dtls1_is_timer_expired(SSL_CONNECTION *s)
     }
 
     /* Return false if timer is not expired yet */
-    if (timeleft.tv_sec > 0 || timeleft.tv_usec > 0) {
+    if (!ossl_time_is_zero(timeleft)) {
         return 0;
     }
 
@@ -371,12 +342,14 @@ static void dtls1_double_timeout(SSL_CONNECTION *s)
 
 void dtls1_stop_timer(SSL_CONNECTION *s)
 {
+    struct timeval tv;
+
     /* Reset everything */
     s->d1->timeout_num_alerts = 0;
-    memset(&s->d1->next_timeout, 0, sizeof(s->d1->next_timeout));
+    s->d1->next_timeout = ossl_time_zero();
     s->d1->timeout_duration_us = 1000000;
-    BIO_ctrl(s->rbio, BIO_CTRL_DGRAM_SET_NEXT_TIMEOUT, 0,
-             &(s->d1->next_timeout));
+    tv = ossl_time_to_timeval(s->d1->next_timeout);
+    BIO_ctrl(s->rbio, BIO_CTRL_DGRAM_SET_NEXT_TIMEOUT, 0, &tv);
     /* Clear retransmission buffer */
     dtls1_clear_sent_buffer(s);
 }
@@ -429,11 +402,6 @@ int dtls1_handle_timeout(SSL_CONNECTION *s)
     return dtls1_retransmit_buffered_messages(s);
 }
 
-static void get_current_time(struct timeval *t)
-{
-    ossl_time_time_to_timeval(ossl_time_now(), t);
-}
-
 #define LISTEN_SUCCESS              2
 #define LISTEN_SEND_VERIFY_REQUEST  1
 
diff --git a/ssl/quic/quic_impl.c b/ssl/quic/quic_impl.c
index 6ccc24bb22..6d5c1995f8 100644
--- a/ssl/quic/quic_impl.c
+++ b/ssl/quic/quic_impl.c
@@ -197,9 +197,9 @@ size_t ossl_quic_pending(const SSL *s)
     return 0;
 }
 
-long ossl_quic_default_timeout(void)
+OSSL_TIME ossl_quic_default_timeout(void)
 {
-    return 0;
+    return ossl_time_zero();
 }
 
 int ossl_quic_num_ciphers(void)
diff --git a/ssl/quic/quic_local.h b/ssl/quic/quic_local.h
index 385fd70101..3f589bba0b 100644
--- a/ssl/quic/quic_local.h
+++ b/ssl/quic/quic_local.h
@@ -103,7 +103,7 @@ __owur long ossl_quic_ctx_ctrl(SSL_CTX *ctx, int cmd, long larg, void *parg);
 __owur long ossl_quic_callback_ctrl(SSL *s, int cmd, void (*fp) (void));
 __owur long ossl_quic_ctx_callback_ctrl(SSL_CTX *ctx, int cmd, void (*fp) (void));
 __owur size_t ossl_quic_pending(const SSL *s);
-__owur long ossl_quic_default_timeout(void);
+__owur OSSL_TIME ossl_quic_default_timeout(void);
 __owur int ossl_quic_num_ciphers(void);
 __owur const SSL_CIPHER *ossl_quic_get_cipher(unsigned int u);
 int ossl_quic_renegotiate_check(SSL *ssl, int initok);
diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index ceae7faf9f..126ac4c2bf 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -3286,13 +3286,13 @@ const SSL3_ENC_METHOD SSLv3_enc_data = {
     ssl3_handshake_write
 };
 
-long ssl3_default_timeout(void)
+OSSL_TIME ssl3_default_timeout(void)
 {
     /*
      * 2 hours, the 24 hours mentioned in the SSLv3 spec is way too long for
      * http, the cache would over fill
      */
-    return (60 * 60 * 2);
+    return ossl_seconds2time(60 * 60 * 2);
 }
 
 int ssl3_num_ciphers(void)
diff --git a/ssl/ssl_asn1.c b/ssl/ssl_asn1.c
index 3503fdc210..9336fb2cc9 100644
--- a/ssl/ssl_asn1.c
+++ b/ssl/ssl_asn1.c
@@ -163,8 +163,8 @@ int i2d_SSL_SESSION(const SSL_SESSION *in, unsigned char **pp)
     ssl_session_oinit(&as.session_id_context, &sid_ctx,
                       in->sid_ctx, in->sid_ctx_length);
 
-    as.time = (int64_t)in->time;
-    as.timeout = (int64_t)in->timeout;
+    as.time = (int64_t)ossl_time_to_time_t(in->time);
+    as.timeout = (int64_t)ossl_time2seconds(in->timeout);
     as.verify_result = in->verify_result;
 
     as.peer = in->peer;
@@ -302,14 +302,14 @@ SSL_SESSION *d2i_SSL_SESSION(SSL_SESSION **a, const unsigned char **pp,
     ret->master_key_length = tmpl;
 
     if (as->time != 0)
-        ret->time = (time_t)as->time;
+        ret->time = ossl_time_from_time_t(as->time);
     else
-        ret->time = time(NULL);
+        ret->time = ossl_time_now();
 
     if (as->timeout != 0)
-        ret->timeout = (time_t)as->timeout;
+        ret->timeout = ossl_seconds2time(as->timeout);
     else
-        ret->timeout = 3;
+        ret->timeout = ossl_seconds2time(3);
     ssl_session_calculate_timeout(ret);
 
     X509_free(ret->peer);
diff --git a/ssl/ssl_lib.c b/ssl/ssl_lib.c
index 9b384b9429..5409c5b577 100644
--- a/ssl/ssl_lib.c
+++ b/ssl/ssl_lib.c
@@ -2047,7 +2047,7 @@ int SSL_connect(SSL *s)
 
 long SSL_get_default_timeout(const SSL *s)
 {
-    return s->method->get_timeout();
+    return (long int)ossl_time2seconds(s->method->get_timeout());
 }
 
 static int ssl_async_wait_ctx_cb(void *arg)
diff --git a/ssl/ssl_local.h b/ssl/ssl_local.h
index fec587ee8a..e1c90cfca4 100644
--- a/ssl/ssl_local.h
+++ b/ssl/ssl_local.h
@@ -520,7 +520,7 @@ struct ssl_method_st {
     size_t (*ssl_pending) (const SSL *s);
     int (*num_ciphers) (void);
     const SSL_CIPHER *(*get_cipher) (unsigned ncipher);
-    long (*get_timeout) (void);
+    OSSL_TIME (*get_timeout) (void);
     const struct ssl3_enc_method *ssl3_enc; /* Extra SSLv3/TLS stuff */
     int (*ssl_version) (void);
     long (*ssl_callback_ctrl) (SSL *s, int cb_id, void (*fp) (void));
@@ -601,8 +601,8 @@ struct ssl_session_st {
      */
     long verify_result;         /* only for servers */
     CRYPTO_REF_COUNT references;
-    time_t timeout;
-    time_t time;
+    OSSL_TIME timeout;
+    OSSL_TIME time;
     OSSL_TIME calc_timeout;
     unsigned int compress_meth; /* Need to lookup the method */
     const SSL_CIPHER *cipher;
@@ -701,11 +701,11 @@ typedef enum {
 
 /*
  * The allowance we have between the client's calculated ticket age and our own.
- * We allow for 10 seconds (units are in ms). If a ticket is presented and the
+ * We allow for 10 seconds. If a ticket is presented and the
  * client's age calculation is different by more than this than our own then we
  * do not allow that ticket for early_data.
  */
-# define TICKET_AGE_ALLOWANCE   (10 * 1000)
+# define TICKET_AGE_ALLOWANCE   ossl_seconds2time(10)
 
 #define MAX_COMPRESSIONS_SIZE   255
 
@@ -874,7 +874,7 @@ struct ssl_ctx_st {
      * SSL_new() is called.  This has been put in to make life easier to set
      * things up
      */
-    long session_timeout;
+    OSSL_TIME session_timeout;
     /*
      * If this callback is not null, it will be called each time a session id
      * is added to the cache.  If this function returns 1, it means that the
@@ -1973,7 +1973,7 @@ typedef struct dtls1_state_st {
     /*
      * Indicates when the last handshake msg sent will timeout
      */
-    struct timeval next_timeout;
+    OSSL_TIME next_timeout;
     /* Timeout duration */
     unsigned int timeout_duration_us;
 
@@ -2602,7 +2602,7 @@ __owur long ssl3_callback_ctrl(SSL *s, int cmd, void (*fp) (void));
 __owur long ssl3_ctx_callback_ctrl(SSL_CTX *s, int cmd, void (*fp) (void));
 
 __owur int ssl3_do_change_cipher_spec(SSL_CONNECTION *s);
-__owur long ssl3_default_timeout(void);
+__owur OSSL_TIME ssl3_default_timeout(void);
 
 __owur int ssl3_set_handshake_header(SSL_CONNECTION *s, WPACKET *pkt,
                                      int htype);
@@ -2627,7 +2627,7 @@ __owur int ssl_choose_client_version(SSL_CONNECTION *s, int version,
 __owur int ssl_get_min_max_version(const SSL_CONNECTION *s, int *min_version,
                                    int *max_version, int *real_max);
 
-__owur long tls1_default_timeout(void);
+__owur OSSL_TIME tls1_default_timeout(void);
 __owur int dtls1_do_write(SSL_CONNECTION *s, int type);
 void dtls1_set_message_header(SSL_CONNECTION *s,
                               unsigned char mt,
@@ -2647,9 +2647,8 @@ void dtls1_clear_received_buffer(SSL_CONNECTION *s);
 void dtls1_clear_sent_buffer(SSL_CONNECTION *s);
 void dtls1_get_message_header(unsigned char *data,
                               struct hm_header_st *msg_hdr);
-__owur long dtls1_default_timeout(void);
-__owur struct timeval *dtls1_get_timeout(SSL_CONNECTION *s,
-                                         struct timeval *timeleft);
+__owur OSSL_TIME dtls1_default_timeout(void);
+__owur OSSL_TIME *dtls1_get_timeout(SSL_CONNECTION *s, OSSL_TIME *timeleft);
 __owur int dtls1_check_timeout_num(SSL_CONNECTION *s);
 __owur int dtls1_handle_timeout(SSL_CONNECTION *s);
 void dtls1_start_timer(SSL_CONNECTION *s);
diff --git a/ssl/ssl_sess.c b/ssl/ssl_sess.c
index e52635d087..720ea4bc18 100644
--- a/ssl/ssl_sess.c
+++ b/ssl/ssl_sess.c
@@ -26,9 +26,9 @@ static int remove_session_lock(SSL_CTX *ctx, SSL_SESSION *c, int lck);
 
 DEFINE_STACK_OF(SSL_SESSION)
 
-__owur static ossl_inline int sess_timedout(time_t t, SSL_SESSION *ss)
+__owur static ossl_inline int sess_timedout(OSSL_TIME t, SSL_SESSION *ss)
 {
-    return ossl_time_compare(ossl_time_from_time_t(t), ss->calc_timeout) > 0;
+    return ossl_time_compare(t, ss->calc_timeout) > 0;
 }
 
 /*
@@ -46,12 +46,7 @@ __owur static ossl_inline int timeoutcmp(SSL_SESSION *a, SSL_SESSION *b)
  */
 void ssl_session_calculate_timeout(SSL_SESSION *ss)
 {
-    /* Force positive timeout */
-    if (ss->timeout < 0)
-        ss->timeout = 0;
-
-    ss->calc_timeout = ossl_time_add(ossl_time_from_time_t(ss->time),
-                                     ossl_time_from_time_t(ss->timeout));
+    ss->calc_timeout = ossl_time_add(ss->time, ss->timeout);
 }
 
 /*
@@ -118,8 +113,9 @@ SSL_SESSION *SSL_SESSION_new(void)
 
     ss->verify_result = 1;      /* avoid 0 (= X509_V_OK) just in case */
     ss->references = 1;
-    ss->timeout = 60 * 5 + 4;   /* 5 minute timeout by default */
-    ss->time = time(NULL);
+   /* 5 minute timeout by default */
+    ss->timeout = ossl_seconds2time(60 * 5 + 4);
+    ss->time = ossl_time_now();
     ssl_session_calculate_timeout(ss);
     ss->lock = CRYPTO_THREAD_lock_new();
     if (ss->lock == NULL) {
@@ -418,8 +414,8 @@ int ssl_get_new_session(SSL_CONNECTION *s, int session)
     }
 
     /* If the context has a default timeout, use it */
-    if (s->session_ctx->session_timeout == 0)
-        ss->timeout = SSL_get_default_timeout(SSL_CONNECTION_GET_SSL(s));
+    if (ossl_time_is_zero(s->session_ctx->session_timeout))
+        ss->timeout = SSL_CONNECTION_GET_SSL(s)->method->get_timeout();
     else
         ss->timeout = s->session_ctx->session_timeout;
     ssl_session_calculate_timeout(ss);
@@ -629,7 +625,7 @@ int ssl_get_prev_session(SSL_CONNECTION *s, CLIENTHELLO_MSG *hello)
         goto err;
     }
 
-    if (sess_timedout(time(NULL), ret)) {
+    if (sess_timedout(ossl_time_now(), ret)) {
         ssl_tsan_counter(s->session_ctx, &s->session_ctx->stats.sess_timeout);
         if (try_session_cache) {
             /* session was from the cache, so remove it */
@@ -732,7 +728,7 @@ int SSL_CTX_add_session(SSL_CTX *ctx, SSL_SESSION *c)
 
     /* Adjust last used time, and add back into the cache at the appropriate spot */
     if (ctx->session_cache_mode & SSL_SESS_CACHE_UPDATE_TIME) {
-        c->time = time(NULL);
+        c->time = ossl_time_now();
         ssl_session_calculate_timeout(c);
     }
 
@@ -886,7 +882,7 @@ int SSL_SESSION_set1_id(SSL_SESSION *s, const unsigned char *sid,
 
 long SSL_SESSION_set_timeout(SSL_SESSION *s, long t)
 {
-    time_t new_timeout = (time_t)t;
+    OSSL_TIME new_timeout = ossl_seconds2time(t);
 
     if (s == NULL || t < 0)
         return 0;
@@ -908,19 +904,19 @@ long SSL_SESSION_get_timeout(const SSL_SESSION *s)
 {
     if (s == NULL)
         return 0;
-    return (long)s->timeout;
+    return (long)ossl_time_to_time_t(s->timeout);
 }
 
 long SSL_SESSION_get_time(const SSL_SESSION *s)
 {
     if (s == NULL)
         return 0;
-    return (long)s->time;
+    return (long)ossl_time_to_time_t(s->time);
 }
 
 long SSL_SESSION_set_time(SSL_SESSION *s, long t)
 {
-    time_t new_time = (time_t)t;
+    OSSL_TIME new_time = ossl_time_from_time_t((time_t)t);
 
     if (s == NULL)
         return 0;
@@ -1066,10 +1062,11 @@ int SSL_SESSION_is_resumable(const SSL_SESSION *s)
 long SSL_CTX_set_timeout(SSL_CTX *s, long t)
 {
     long l;
+
     if (s == NULL)
         return 0;
-    l = s->session_timeout;
-    s->session_timeout = t;
+    l = (long)ossl_time2seconds(s->session_timeout);
+    s->session_timeout = ossl_seconds2time(t);
     return l;
 }
 
@@ -1077,7 +1074,7 @@ long SSL_CTX_get_timeout(const SSL_CTX *s)
 {
     if (s == NULL)
         return 0;
-    return s->session_timeout;
+    return (long)ossl_time2seconds(s->session_timeout);
 }
 
 int SSL_set_session_secret_cb(SSL *s,
@@ -1144,6 +1141,7 @@ void SSL_CTX_flush_sessions(SSL_CTX *s, long t)
     STACK_OF(SSL_SESSION) *sk;
     SSL_SESSION *current;
     unsigned long i;
+    const OSSL_TIME timeout = ossl_time_from_time_t(t);
 
     if (!CRYPTO_THREAD_write_lock(s->lock))
         return;
@@ -1161,7 +1159,7 @@ void SSL_CTX_flush_sessions(SSL_CTX *s, long t)
      */
     while (s->session_cache_tail != NULL) {
         current = s->session_cache_tail;
-        if (t == 0 || sess_timedout((time_t)t, current)) {
+        if (t == 0 || sess_timedout(timeout, current)) {
             lh_SSL_SESSION_delete(s->sessions, current);
             SSL_SESSION_list_remove(s, current);
             current->not_resumable = 1;
diff --git a/ssl/ssl_txt.c b/ssl/ssl_txt.c
index 212fe00962..68f15d6182 100644
--- a/ssl/ssl_txt.c
+++ b/ssl/ssl_txt.c
@@ -128,12 +128,14 @@ int SSL_SESSION_print(BIO *bp, const SSL_SESSION *x)
         }
     }
 #endif
-    if (x->time != 0L) {
-        if (BIO_printf(bp, "\n    Start Time: %lld", (long long)x->time) <= 0)
+    if (!ossl_time_is_zero(x->time)) {
+        if (BIO_printf(bp, "\n    Start Time: %lld",
+                       (long long)ossl_time_to_time_t(x->time)) <= 0)
             goto err;
     }
-    if (x->timeout != 0L) {
-        if (BIO_printf(bp, "\n    Timeout   : %lld (sec)", (long long)x->timeout) <= 0)
+    if (!ossl_time_is_zero(x->timeout)) {
+        if (BIO_printf(bp, "\n    Timeout   : %lld (sec)",
+                       (long long)ossl_time2seconds(x->timeout)) <= 0)
             goto err;
     }
     if (BIO_puts(bp, "\n") <= 0)
diff --git a/ssl/statem/extensions_clnt.c b/ssl/statem/extensions_clnt.c
index 3a315cb65f..3a1f3e8105 100644
--- a/ssl/statem/extensions_clnt.c
+++ b/ssl/statem/extensions_clnt.c
@@ -1011,6 +1011,7 @@ EXT_RETURN tls_construct_ctos_psk(SSL_CONNECTION *s, WPACKET *pkt,
     const EVP_MD *handmd = NULL, *mdres = NULL, *mdpsk = NULL;
     int dores = 0;
     SSL_CTX *sctx = SSL_CONNECTION_GET_CTX(s);
+    OSSL_TIME t;
 
     s->ext.tick_identity = 0;
 
@@ -1062,7 +1063,8 @@ EXT_RETURN tls_construct_ctos_psk(SSL_CONNECTION *s, WPACKET *pkt,
          * this in multiple places in the code, so portability shouldn't be an
          * issue.
          */
-        agesec = (uint32_t)(time(NULL) - s->session->time);
+        t = ossl_time_subtract(ossl_time_now(), s->session->time);
+        agesec = (uint32_t)ossl_time2seconds(t);
         /*
          * We calculate the age in seconds but the server may work in ms. Due to
          * rounding errors we could overestimate the age by up to 1s. It is
diff --git a/ssl/statem/extensions_srvr.c b/ssl/statem/extensions_srvr.c
index 747b9fe9a4..413ee5a1dc 100644
--- a/ssl/statem/extensions_srvr.c
+++ b/ssl/statem/extensions_srvr.c
@@ -1102,7 +1102,7 @@ int tls_parse_ctos_psk(SSL_CONNECTION *s, PACKET *pkt, unsigned int context,
                 s->ext.early_data_ok = 1;
             s->ext.ticket_expected = 1;
         } else {
-            uint32_t ticket_age = 0, agesec, agems;
+            OSSL_TIME t, age, expire;
             int ret;
 
             /*
@@ -1141,24 +1141,24 @@ int tls_parse_ctos_psk(SSL_CONNECTION *s, PACKET *pkt, unsigned int context,
                 continue;
             }
 
-            ticket_age = (uint32_t)ticket_agel;
-            agesec = (uint32_t)(time(NULL) - sess->time);
-            agems = agesec * (uint32_t)1000;
-            ticket_age -= sess->ext.tick_age_add;
+            age = ossl_time_subtract(ossl_seconds2time(ticket_agel),
+                                     ossl_seconds2time(sess->ext.tick_age_add));
+            t = ossl_time_subtract(ossl_time_now(), sess->time);
 
             /*
-             * For simplicity we do our age calculations in seconds. If the
-             * client does it in ms then it could appear that their ticket age
-             * is longer than ours (our ticket age calculation should always be
-             * slightly longer than the client's due to the network latency).
-             * Therefore we add 1000ms to our age calculation to adjust for
-             * rounding errors.
+             * Beause we use second granuality, it could appear that
+             * the client's ticket age is longer than ours (our ticket
+             * age calculation should always be slightly longer than the
+             * client's due to the network latency).  Therefore we add
+             * 1000ms to our age calculation to adjust for rounding errors.
              */
+            expire = ossl_time_add(t, ossl_ms2time(1000));
+
             if (id == 0
-                    && sess->timeout >= (long)agesec
-                    && agems / (uint32_t)1000 == agesec
-                    && ticket_age <= agems + 1000
-                    && ticket_age + TICKET_AGE_ALLOWANCE >= agems + 1000) {
+                    && ossl_time_compare(sess->timeout, t) >= 0
+                    && ossl_time_compare(age, expire) <= 0
+                    && ossl_time_compare(ossl_time_add(age, TICKET_AGE_ALLOWANCE),
+                                         expire) >= 0) {
                 /*
                  * Ticket age is within tolerance and not expired. We allow it
                  * for early data
diff --git a/ssl/statem/statem_clnt.c b/ssl/statem/statem_clnt.c
index 2bfa9a2abf..1bccd6b27c 100644
--- a/ssl/statem/statem_clnt.c
+++ b/ssl/statem/statem_clnt.c
@@ -2542,7 +2542,7 @@ MSG_PROCESS_RETURN tls_process_new_session_ticket(SSL_CONNECTION *s,
         s->session = new_sess;
     }
 
-    s->session->time = time(NULL);
+    s->session->time = ossl_time_now();
     ssl_session_calculate_timeout(s->session);
 
     OPENSSL_free(s->session->ext.tick);
diff --git a/ssl/statem/statem_srvr.c b/ssl/statem/statem_srvr.c
index d7acc5c879..2b549bc22e 100644
--- a/ssl/statem/statem_srvr.c
+++ b/ssl/statem/statem_srvr.c
@@ -3656,7 +3656,7 @@ int tls_construct_server_certificate(SSL_CONNECTION *s, WPACKET *pkt)
 static int create_ticket_prequel(SSL_CONNECTION *s, WPACKET *pkt,
                                  uint32_t age_add, unsigned char *tick_nonce)
 {
-    uint32_t timeout = (uint32_t)s->session->timeout;
+    uint32_t timeout = (uint32_t)ossl_time2seconds(s->session->timeout);
 
     /*
      * Ticket lifetime hint:
@@ -3668,7 +3668,8 @@ static int create_ticket_prequel(SSL_CONNECTION *s, WPACKET *pkt,
 #define ONE_WEEK_SEC (7 * 24 * 60 * 60)
 
     if (SSL_CONNECTION_IS_TLS13(s)) {
-        if (s->session->timeout > ONE_WEEK_SEC)
+        if (ossl_time_compare(s->session->timeout,
+                              ossl_seconds2time(ONE_WEEK_SEC)) > 0)
             timeout = ONE_WEEK_SEC;
     } else if (s->hit)
         timeout = 0;
@@ -3978,7 +3979,7 @@ int tls_construct_new_session_ticket(SSL_CONNECTION *s, WPACKET *pkt)
         }
         s->session->master_key_length = hashlen;
 
-        s->session->time = time(NULL);
+        s->session->time = ossl_time_now();
         ssl_session_calculate_timeout(s->session);
         if (s->s3.alpn_selected != NULL) {
             OPENSSL_free(s->session->ext.alpn_selected);
diff --git a/ssl/t1_lib.c b/ssl/t1_lib.c
index 10e11125b8..b165a4c4f0 100644
--- a/ssl/t1_lib.c
+++ b/ssl/t1_lib.c
@@ -98,13 +98,13 @@ SSL3_ENC_METHOD const TLSv1_3_enc_data = {
     ssl3_handshake_write
 };
 
-long tls1_default_timeout(void)
+OSSL_TIME tls1_default_timeout(void)
 {
     /*
      * 2 hours, the 24 hours mentioned in the TLSv1 spec is way too long for
      * http, the cache would over fill
      */
-    return (60 * 60 * 2);
+    return ossl_seconds2time(60 * 60 * 2);
 }
 
 int tls1_new(SSL *s)