diff --git a/elf/Makefile b/elf/Makefile
index 6368b6a112..7fcb9c9b2c 100644
--- a/elf/Makefile
+++ b/elf/Makefile
@@ -394,6 +394,22 @@ modules-names += tst-gnu2-tls1mod
 $(objpfx)tst-gnu2-tls1: $(objpfx)tst-gnu2-tls1mod.so
 tst-gnu2-tls1mod.so-no-z-defs = yes
 CFLAGS-tst-gnu2-tls1mod.c += -mtls-dialect=gnu2
+
+tests += tst-audit-tlsdesc tst-audit-tlsdesc-dlopen
+modules-names += tst-audit-tlsdesc-mod1 tst-audit-tlsdesc-mod2 tst-auditmod-tlsdesc
+$(objpfx)tst-audit-tlsdesc: $(objpfx)tst-audit-tlsdesc-mod1.so \
+			    $(objpfx)tst-audit-tlsdesc-mod2.so \
+			    $(shared-thread-library)
+CFLAGS-tst-audit-tlsdesc-mod1.c += -mtls-dialect=gnu2
+CFLAGS-tst-audit-tlsdesc-mod2.c += -mtls-dialect=gnu2
+$(objpfx)tst-audit-tlsdesc-dlopen: $(shared-thread-library)
+$(objpfx)tst-audit-tlsdesc-dlopen.out: $(objpfx)tst-audit-tlsdesc-mod1.so \
+				       $(objpfx)tst-audit-tlsdesc-mod2.so
+$(objpfx)tst-audit-tlsdesc-mod1.so: $(objpfx)tst-audit-tlsdesc-mod2.so
+$(objpfx)tst-audit-tlsdesc.out: $(objpfx)tst-auditmod-tlsdesc.so
+tst-audit-tlsdesc-ENV = LD_AUDIT=$(objpfx)tst-auditmod-tlsdesc.so
+$(objpfx)tst-audit-tlsdesc-dlopen.out: $(objpfx)tst-auditmod-tlsdesc.so
+tst-audit-tlsdesc-dlopen-ENV = LD_AUDIT=$(objpfx)tst-auditmod-tlsdesc.so
 endif
 ifeq (yes,$(have-protected-data))
 modules-names += tst-protected1moda tst-protected1modb
diff --git a/elf/tst-audit-tlsdesc-dlopen.c b/elf/tst-audit-tlsdesc-dlopen.c
new file mode 100644
index 0000000000..9c16bb087a
--- /dev/null
+++ b/elf/tst-audit-tlsdesc-dlopen.c
@@ -0,0 +1,67 @@
+/* DT_AUDIT with modules with TLSDESC.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <support/check.h>
+#include <support/xthread.h>
+#include <support/xdlfcn.h>
+
+static void *
+thr_func (void *mod)
+{
+  int* (*get_global1)(void) = xdlsym (mod, "get_global1");
+  int* (*get_global2)(void) = xdlsym (mod, "get_global2");
+  void (*set_global2)(int) = xdlsym (mod, "set_global2");
+  int* (*get_local1)(void) = xdlsym (mod, "get_local1");
+  int* (*get_local2)(void) = xdlsym (mod, "get_local2");
+
+  int *global1 = get_global1 ();
+  TEST_COMPARE (*global1, 0);
+  ++*global1;
+
+  int *global2 = get_global2 ();
+  TEST_COMPARE (*global2, 0);
+  ++*global2;
+  TEST_COMPARE (*global2, 1);
+
+  set_global2 (10);
+  TEST_COMPARE (*global2, 10);
+
+  int *local1 = get_local1 ();
+  TEST_COMPARE (*local1, 0);
+  ++*local1;
+
+  int *local2 = get_local2 ();
+  TEST_COMPARE (*local2, 0);
+  ++*local2;
+
+  return 0;
+}
+
+static int
+do_test (void)
+{
+  void *mod = xdlopen ("tst-audit-tlsdesc-mod1.so", RTLD_LAZY);
+
+  pthread_t thr = xpthread_create (NULL, thr_func, mod);
+  void *r = xpthread_join (thr);
+  TEST_VERIFY (r == NULL);
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/elf/tst-audit-tlsdesc-mod1.c b/elf/tst-audit-tlsdesc-mod1.c
new file mode 100644
index 0000000000..61c7dd99a2
--- /dev/null
+++ b/elf/tst-audit-tlsdesc-mod1.c
@@ -0,0 +1,41 @@
+/* DT_AUDIT with modules with TLSDESC.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+__thread int global1;
+
+int *
+get_global1 (void)
+{
+  return &global1;
+}
+
+static __thread int local1;
+
+void *
+get_local1 (void)
+{
+  return &local1;
+}
+
+extern __thread int global2;
+
+void
+set_global2 (int v)
+{
+  global2 = v;
+}
diff --git a/elf/tst-audit-tlsdesc-mod2.c b/elf/tst-audit-tlsdesc-mod2.c
new file mode 100644
index 0000000000..28aef635f6
--- /dev/null
+++ b/elf/tst-audit-tlsdesc-mod2.c
@@ -0,0 +1,33 @@
+/* DT_AUDIT with modules with TLSDESC.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+__thread int global2;
+
+int *
+get_global2 (void)
+{
+  return &global2;
+}
+
+static __thread int local2;
+
+void *
+get_local2 (void)
+{
+  return &local2;
+}
diff --git a/elf/tst-audit-tlsdesc.c b/elf/tst-audit-tlsdesc.c
new file mode 100644
index 0000000000..3c8be81c95
--- /dev/null
+++ b/elf/tst-audit-tlsdesc.c
@@ -0,0 +1,60 @@
+/* DT_AUDIT with modules with TLSDESC.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <support/check.h>
+#include <support/xthread.h>
+
+extern __thread int global1;
+extern __thread int global2;
+void *get_local1 (void);
+void set_global2 (int v);
+void *get_local2 (void);
+
+static void *
+thr_func (void *clousure)
+{
+  TEST_COMPARE (global1, 0);
+  ++global1;
+  TEST_COMPARE (global2, 0);
+  ++global2;
+  TEST_COMPARE (global2, 1);
+
+  set_global2 (10);
+  TEST_COMPARE (global2, 10);
+
+  int *local1 = get_local1 ();
+  TEST_COMPARE (*local1, 0);
+  ++*local1;
+
+  int *local2 = get_local2 ();
+  TEST_COMPARE (*local2, 0);
+  ++*local2;
+
+  return 0;
+}
+
+static int
+do_test (void)
+{
+  pthread_t thr = xpthread_create (NULL, thr_func, NULL);
+  void *r = xpthread_join (thr);
+  TEST_VERIFY (r == NULL);
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/elf/tst-auditmod-tlsdesc.c b/elf/tst-auditmod-tlsdesc.c
new file mode 100644
index 0000000000..e4b835d1f1
--- /dev/null
+++ b/elf/tst-auditmod-tlsdesc.c
@@ -0,0 +1,25 @@
+/* DT_AUDIT with modules with TLSDESC.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <link.h>
+
+unsigned int
+la_version (unsigned int version)
+{
+  return LAV_CURRENT;
+}