diff --git a/misc/sys/cdefs.h b/misc/sys/cdefs.h
index 8e244a77cf..ac56be4d87 100644
--- a/misc/sys/cdefs.h
+++ b/misc/sys/cdefs.h
@@ -592,8 +592,14 @@ _Static_assert (0, "IEEE 128-bits long double requires redirection on this platf
    array according to access mode, or at least one element when
    size-index is not provided:
      access (access-mode, <ref-index> [, <size-index>])  */
-#define __attr_access(x) __attribute__ ((__access__ x))
+#  define __attr_access(x) __attribute__ ((__access__ x))
+#  if __GNUC_PREREQ (11, 0)
+#    define __attr_access_none(pos) __attribute__ ((__access__ (__none__, pos)))
+#  endif
 #else
 #  define __attr_access(x)
+#  define __attr_access_none(pos)
+#endif
+
 
 /* Specify that a function such as setjmp or vfork may return
diff --git a/nptl/tst-thread-setspecific.c b/nptl/tst-thread-setspecific.c
new file mode 100644
index 0000000000..bda61c6333
--- /dev/null
+++ b/nptl/tst-thread-setspecific.c
@@ -0,0 +1,43 @@
+/* Test to verify that passing a pointer to an uninitialized object
+   to pthread_setspecific doesn't trigger bogus uninitialized warnings.
+   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 <pthread.h>
+#include <stdlib.h>
+
+/* Turn uninitialized warnings into errors to detect the problem.
+   See BZ #27714.  */
+
+#pragma GCC diagnostic push
+#pragma GCC diagnostic error "-Wmaybe-uninitialized"
+#pragma GCC diagnostic error "-Wuninitialized"
+
+int do_test (void)
+{
+  void *p = malloc (1);   /* Deliberately uninitialized.  */
+  pthread_setspecific (pthread_self (), p);
+
+  void *q = pthread_getspecific (pthread_self ());
+
+  return p == q;
+}
+
+#pragma GCC diagnostic pop
+
+#define TEST_FUNCTION do_test ()
+#include "../test-skeleton.c"
diff --git a/sysdeps/htl/pthread.h b/sysdeps/htl/pthread.h
index 0923ad0002..6bcf97d692 100644
--- a/sysdeps/htl/pthread.h
+++ b/sysdeps/htl/pthread.h
@@ -822,7 +822,7 @@ extern void *pthread_getspecific (pthread_key_t __key) __THROW;
 
 /* Set the caller thread's thread specific value of KEY to VALUE.  */
 extern int pthread_setspecific (pthread_key_t __key, const void *__value)
-	__THROW;
+	__THROW __attr_access_none (2);
 
 
 /* Dynamic package initialization.  */
diff --git a/sysdeps/nptl/pthread.h b/sysdeps/nptl/pthread.h
index 23bcd51d91..7c14d0fef7 100644
--- a/sysdeps/nptl/pthread.h
+++ b/sysdeps/nptl/pthread.h
@@ -1171,7 +1171,8 @@ extern void *pthread_getspecific (pthread_key_t __key) __THROW;
 
 /* Store POINTER in the thread-specific data slot identified by KEY. */
 extern int pthread_setspecific (pthread_key_t __key,
-				const void *__pointer) __THROW ;
+				const void *__pointer)
+  __THROW __attr_access_none (2);
 
 
 #ifdef __USE_XOPEN2K