diff --git a/include/time.h b/include/time.h
index d93b16a7810..0e703f87cef 100644
--- a/include/time.h
+++ b/include/time.h
@@ -174,6 +174,26 @@ libc_hidden_proto (__difftime64)
 
 extern double __difftime (time_t time1, time_t time0);
 
+#if __TIMESIZE == 64
+# define __thrd_sleep_time64 thrd_sleep
+# define __clock_nanosleep_time64 __clock_nanosleep
+# define __nanosleep_time64 __nanosleep
+# define __nanosleep_nocancel_time64 __nanosleep_nocancel
+#else
+extern int __thrd_sleep_time64 (const struct __timespec64* time_point,
+                                struct __timespec64* remaining);
+libc_hidden_proto (__thrd_sleep_time64)
+extern int __clock_nanosleep_time64 (clockid_t clock_id,
+                                     int flags, const struct __timespec64 *req,
+                                     struct __timespec64 *rem);
+libc_hidden_proto (__clock_nanosleep_time64)
+extern  int __nanosleep_time64 (const struct __timespec64 *requested_time,
+                                struct __timespec64 *remaining);
+libc_hidden_proto (__nanosleep_time64)
+extern int __nanosleep_nocancel_time64 (const struct __timespec64 *requested_time,
+                                        struct __timespec64 *remaining);
+libc_hidden_proto (__nanosleep_nocancel_time64)
+#endif
 
 /* Use in the clock_* functions.  Size of the field representing the
    actual clock ID.  */
diff --git a/nptl/thrd_sleep.c b/nptl/thrd_sleep.c
index 2e185dd748e..2a6bb1f9e3f 100644
--- a/nptl/thrd_sleep.c
+++ b/nptl/thrd_sleep.c
@@ -17,23 +17,85 @@
    <https://www.gnu.org/licenses/>.  */
 
 #include <time.h>
+#include <kernel-features.h>
 #include <sysdep-cancel.h>
 
 #include "thrd_priv.h"
 
 int
-thrd_sleep (const struct timespec* time_point, struct timespec* remaining)
+__thrd_sleep_time64 (const struct __timespec64* time_point, struct __timespec64* remaining)
 {
   INTERNAL_SYSCALL_DECL (err);
-  int ret = INTERNAL_SYSCALL_CANCEL (nanosleep, err, time_point, remaining);
+  int ret = -1;
+
+#ifdef __ASSUME_TIME64_SYSCALLS
+# ifndef __NR_clock_nanosleep_time64
+#  define __NR_clock_nanosleep_time64 __NR_clock_nanosleep
+# endif
+  ret = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, err, CLOCK_REALTIME,
+                                 0, time_point, remaining);
+#else
+# ifdef __NR_clock_nanosleep_time64
+  long int ret_64;
+
+  ret_64 = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, err, CLOCK_REALTIME,
+                                    0, time_point, remaining);
+
+  if (ret_64 == 0 || errno != ENOSYS)
+    ret = ret_64;
+# endif /* __NR_clock_nanosleep_time64 */
+  if (ret < 0)
+    {
+      struct timespec tp32, tr32;
+
+      if (! in_time_t_range (time_point->tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      tp32 = valid_timespec64_to_timespec (*time_point);
+      ret =  INTERNAL_SYSCALL_CANCEL (nanosleep, err, &tp32, &tr32);
+
+      if ((ret == 0 || errno != ENOSYS) && remaining)
+        *remaining = valid_timespec_to_timespec64 (tr32);
+    }
+#endif /* __ASSUME_TIME64_SYSCALLS */
+
   if (INTERNAL_SYSCALL_ERROR_P (ret, err))
     {
       /* C11 states thrd_sleep function returns -1 if it has been interrupted
-	 by a signal, or a negative value if it fails.  */
+         by a signal, or a negative value if it fails.  */
       ret = INTERNAL_SYSCALL_ERRNO (ret, err);
       if (ret == EINTR)
-	return -1;
+        return -1;
       return -2;
     }
   return 0;
 }
+
+#if __TIMESIZE != 64
+int
+thrd_sleep (const struct timespec* time_point, struct timespec* remaining)
+{
+  int ret;
+  struct __timespec64 tp64, tr64;
+
+  tp64 = valid_timespec_to_timespec64 (*time_point);
+  ret = __thrd_sleep_time64 (&tp64, &tr64);
+
+  if (ret == 0 || errno != ENOSYS)
+    {
+      if (! in_time_t_range (tr64.tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      if (remaining)
+        *remaining = valid_timespec64_to_timespec (tr64);
+    }
+
+  return ret;
+}
+#endif
diff --git a/sysdeps/unix/sysv/linux/clock_nanosleep.c b/sysdeps/unix/sysv/linux/clock_nanosleep.c
index 1f240b8720a..d257ea57fb0 100644
--- a/sysdeps/unix/sysv/linux/clock_nanosleep.c
+++ b/sysdeps/unix/sysv/linux/clock_nanosleep.c
@@ -16,6 +16,7 @@
    <https://www.gnu.org/licenses/>.  */
 
 #include <time.h>
+#include <kernel-features.h>
 #include <errno.h>
 
 #include <sysdep-cancel.h>
@@ -26,9 +27,11 @@
 /* We can simply use the syscall.  The CPU clocks are not supported
    with this function.  */
 int
-__clock_nanosleep (clockid_t clock_id, int flags, const struct timespec *req,
-		   struct timespec *rem)
+__clock_nanosleep_time64 (clockid_t clock_id, int flags, const struct __timespec64 *req,
+                          struct __timespec64 *rem)
 {
+  int r = -1;
+
   if (clock_id == CLOCK_THREAD_CPUTIME_ID)
     return EINVAL;
   if (clock_id == CLOCK_PROCESS_CPUTIME_ID)
@@ -37,12 +40,72 @@ __clock_nanosleep (clockid_t clock_id, int flags, const struct timespec *req,
   /* If the call is interrupted by a signal handler or encounters an error,
      it returns a positive value similar to errno.  */
   INTERNAL_SYSCALL_DECL (err);
-  int r = INTERNAL_SYSCALL_CANCEL (clock_nanosleep, err, clock_id, flags,
-				   req, rem);
+
+#ifdef __ASSUME_TIME64_SYSCALLS
+# ifndef __NR_clock_nanosleep_time64
+#  define __NR_clock_nanosleep_time64 __NR_clock_nanosleep
+# endif
+  r = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, err, clock_id,
+                               flags, req, rem);
+#else
+# ifdef __NR_clock_nanosleep_time64
+  long int ret_64;
+
+  ret_64 = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, err, clock_id,
+                                    flags, req, rem);
+
+  if (ret_64 == 0 || errno != ENOSYS)
+    r = ret_64;
+# endif /* __NR_clock_nanosleep_time64 */
+  if (r < 0)
+    {
+      struct timespec ts32, tr32;
+
+      if (! in_time_t_range (req->tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      ts32 = valid_timespec64_to_timespec (*req);
+      r =  INTERNAL_SYSCALL_CANCEL (clock_nanosleep, err, &ts32, &tr32);
+
+      if ((r == 0 || errno != ENOSYS) && rem)
+        *rem = valid_timespec_to_timespec64 (tr32);
+    }
+#endif /* __ASSUME_TIME64_SYSCALLS */
+
   return (INTERNAL_SYSCALL_ERROR_P (r, err)
-	  ? INTERNAL_SYSCALL_ERRNO (r, err) : 0);
+          ? INTERNAL_SYSCALL_ERRNO (r, err) : 0);
 }
 
+#if __TIMESIZE != 64
+int
+__clock_nanosleep (clockid_t clock_id, int flags, const struct timespec *req,
+                   struct timespec *rem)
+{
+  int r;
+  struct __timespec64 treq64, trem64;
+
+  treq64 = valid_timespec_to_timespec64 (*req);
+  r = __clock_nanosleep_time64 (clock_id, flags, &treq64, &trem64);
+
+  if (r == 0 || errno != ENOSYS)
+    {
+      if (! in_time_t_range (trem64.tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      if (rem)
+        *rem = valid_timespec64_to_timespec (trem64);
+    }
+
+  return r;
+}
+#endif
+
 versioned_symbol (libc, __clock_nanosleep, clock_nanosleep, GLIBC_2_17);
 /* clock_nanosleep moved to libc in version 2.17;
    old binaries may expect the symbol version it had in librt.  */
diff --git a/sysdeps/unix/sysv/linux/nanosleep.c b/sysdeps/unix/sysv/linux/nanosleep.c
index 6787909248f..10a6d57a1de 100644
--- a/sysdeps/unix/sysv/linux/nanosleep.c
+++ b/sysdeps/unix/sysv/linux/nanosleep.c
@@ -17,15 +17,76 @@
    <https://www.gnu.org/licenses/>.  */
 
 #include <time.h>
+#include <kernel-features.h>
 #include <sysdep-cancel.h>
 #include <not-cancel.h>
 
 /* Pause execution for a number of nanoseconds.  */
 int
+__nanosleep_time64 (const struct __timespec64 *requested_time,
+                    struct __timespec64 *remaining)
+{
+#if defined(__ASSUME_TIME64_SYSCALLS)
+# ifndef __NR_clock_nanosleep_time64
+#  define __NR_clock_nanosleep_time64 __NR_clock_nanosleep
+# endif
+  return SYSCALL_CANCEL (clock_nanosleep_time64, CLOCK_REALTIME, 0,
+                         requested_time, remaining);
+#else
+# ifdef __NR_clock_nanosleep_time64
+  long int ret_64;
+
+  ret_64 = SYSCALL_CANCEL (clock_nanosleep_time64, CLOCK_REALTIME, 0,
+                           requested_time, remaining);
+
+  if (ret_64 == 0 || errno != ENOSYS)
+    return ret_64;
+# endif /* __NR_clock_nanosleep_time64 */
+  int ret;
+  struct timespec ts32, tr32;
+
+  if (! in_time_t_range (requested_time->tv_sec))
+    {
+      __set_errno (EOVERFLOW);
+      return -1;
+    }
+
+  ts32 = valid_timespec64_to_timespec (*requested_time);
+  ret = SYSCALL_CANCEL (nanosleep, &ts32, &tr32);
+
+  if ((ret == 0 || errno != ENOSYS) && remaining)
+    *remaining = valid_timespec_to_timespec64 (tr32);
+
+  return ret;
+#endif /* __ASSUME_TIME64_SYSCALLS */
+}
+
+#if __TIMESIZE != 64
+int
 __nanosleep (const struct timespec *requested_time,
-	     struct timespec *remaining)
+             struct timespec *remaining)
 {
-  return SYSCALL_CANCEL (nanosleep, requested_time, remaining);
+  int r;
+  struct __timespec64 treq64, trem64;
+
+  treq64 = valid_timespec_to_timespec64 (*requested_time);
+  r = __nanosleep_time64 (&treq64, &trem64);
+
+  if (r == 0 || errno != ENOSYS)
+    {
+      if (! in_time_t_range (trem64.tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      if (remaining)
+        *remaining = valid_timespec64_to_timespec (trem64);
+    }
+
+  return r;
 }
+#endif
+
 hidden_def (__nanosleep)
 weak_alias (__nanosleep, nanosleep)
diff --git a/sysdeps/unix/sysv/linux/nanosleep_nocancel.c b/sysdeps/unix/sysv/linux/nanosleep_nocancel.c
index d6442bf4f7f..1a6c6c0a48a 100644
--- a/sysdeps/unix/sysv/linux/nanosleep_nocancel.c
+++ b/sysdeps/unix/sysv/linux/nanosleep_nocancel.c
@@ -17,13 +17,74 @@
    <https://www.gnu.org/licenses/>.  */
 
 #include <time.h>
+#include <kernel-features.h>
 #include <sysdep-cancel.h>
 #include <not-cancel.h>
 
+int
+__nanosleep_nocancel_time64 (const struct __timespec64 *requested_time,
+                             struct __timespec64 *remaining)
+{
+#ifdef __ASSUME_TIME64_SYSCALLS
+# ifndef __NR_clock_nanosleep_time64
+#  define __NR_clock_nanosleep_time64 __NR_clock_nanosleep
+# endif
+  return INLINE_SYSCALL_CALL (clock_nanosleep_time64, CLOCK_REALTIME, 0,
+                              requested_time, remaining);
+#else
+# ifdef __NR_clock_nanosleep_time64
+  long int ret_64;
+
+  ret_64 = INLINE_SYSCALL_CALL (clock_nanosleep_time64, CLOCK_REALTIME, 0,
+                                requested_time, remaining);
+
+  if (ret_64 == 0 || errno != ENOSYS)
+    return ret_64;
+# endif /* __NR_clock_nanosleep_time64 */
+  int ret;
+  struct timespec ts32, tr32;
+
+  if (! in_time_t_range (requested_time->tv_sec))
+    {
+      __set_errno (EOVERFLOW);
+      return -1;
+    }
+
+  ts32 = valid_timespec64_to_timespec (*requested_time);
+  ret = INLINE_SYSCALL_CALL (nanosleep, &ts32, &tr32);
+
+  if (ret == 0 || errno != ENOSYS)
+    *remaining = valid_timespec_to_timespec64 (tr32);
+
+  return ret;
+#endif /* __ASSUME_TIME64_SYSCALLS */
+}
+
+#if __TIMESIZE != 64
 int
 __nanosleep_nocancel (const struct timespec *requested_time,
-		      struct timespec *remaining)
+                      struct timespec *remaining)
 {
-  return INLINE_SYSCALL_CALL (nanosleep, requested_time, remaining);
+  int ret;
+  struct __timespec64 treq64, trem64;
+
+  treq64 = valid_timespec_to_timespec64 (*requested_time);
+  ret = __nanosleep_nocancel_time64 (&treq64, &trem64);
+
+  if (ret == 0 || errno != ENOSYS)
+    {
+      if (! in_time_t_range (trem64.tv_sec))
+        {
+          __set_errno (EOVERFLOW);
+          return -1;
+        }
+
+      if (remaining)
+        *remaining = valid_timespec64_to_timespec (trem64);
+    }
+
+  return ret;
 }
+#endif
+
 hidden_def (__nanosleep_nocancel)
