diff --git a/include/time.h b/include/time.h
index 20abea69d4..f599eeed4e 100644
--- a/include/time.h
+++ b/include/time.h
@@ -347,12 +347,20 @@ libc_hidden_proto (__time64)
 /* Check whether T fits in int32_t, assume all usages are for
    sizeof(time_t) == 32.  */
 static inline bool
-in_time_t_range (__time64_t t)
+in_int32_t_range (__time64_t t)
 {
   int32_t s = t;
   return s == t;
 }
 
+/* Check whether T fits in time_t.  */
+static inline bool
+in_time_t_range (__time64_t t)
+{
+  time_t s = t;
+  return s == t;
+}
+
 /* Convert a known valid struct timeval into a struct __timespec64.  */
 static inline struct __timespec64
 valid_timeval_to_timespec64 (const struct timeval tv)
diff --git a/nptl/futex-internal.c b/nptl/futex-internal.c
index 7ec228e8fb..6b8ac2304d 100644
--- a/nptl/futex-internal.c
+++ b/nptl/futex-internal.c
@@ -87,7 +87,7 @@ __futex_abstimed_wait_common (unsigned int* futex_word,
   err = __futex_abstimed_wait_common64 (futex_word, expected, op, abstime,
 					private, cancel);
 #else
-  bool need_time64 = abstime != NULL && !in_time_t_range (abstime->tv_sec);
+  bool need_time64 = abstime != NULL && !in_int32_t_range (abstime->tv_sec);
   if (need_time64)
     {
       err = __futex_abstimed_wait_common64 (futex_word, expected, op, abstime,
@@ -162,7 +162,7 @@ __futex_lock_pi64 (int *futex_word, clockid_t clockid,
 # ifdef __ASSUME_TIME64_SYSCALLS
   err = INTERNAL_SYSCALL_CALL (futex_time64, futex_word, op_pi, 0, abstime);
 # else
-  bool need_time64 = abstime != NULL && !in_time_t_range (abstime->tv_sec);
+  bool need_time64 = abstime != NULL && !in_int32_t_range (abstime->tv_sec);
   if (need_time64)
     err = INTERNAL_SYSCALL_CALL (futex_time64, futex_word, op_pi, 0, abstime);
   else
diff --git a/sysdeps/unix/sysv/linux/clock_adjtime.c b/sysdeps/unix/sysv/linux/clock_adjtime.c
index 5ded82f506..63ea68c3af 100644
--- a/sysdeps/unix/sysv/linux/clock_adjtime.c
+++ b/sysdeps/unix/sysv/linux/clock_adjtime.c
@@ -35,7 +35,7 @@ __clock_adjtime64 (const clockid_t clock_id, struct __timex64 *tx64)
     return r;
 
   if (tx64->modes & ADJ_SETOFFSET
-      && ! in_time_t_range (tx64->time.tv_sec))
+      && ! in_int32_t_range (tx64->time.tv_sec))
     {
       __set_errno (EOVERFLOW);
       return -1;
diff --git a/sysdeps/unix/sysv/linux/clock_nanosleep.c b/sysdeps/unix/sysv/linux/clock_nanosleep.c
index e610fd4e8d..9031060486 100644
--- a/sysdeps/unix/sysv/linux/clock_nanosleep.c
+++ b/sysdeps/unix/sysv/linux/clock_nanosleep.c
@@ -48,7 +48,7 @@ __clock_nanosleep_time64 (clockid_t clock_id, int flags,
   r = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, clock_id, flags, req,
 			       rem);
 #else
-  if (!in_time_t_range (req->tv_sec))
+  if (!in_int32_t_range (req->tv_sec))
     {
       r = INTERNAL_SYSCALL_CANCEL (clock_nanosleep_time64, clock_id, flags,
 				   req, rem);
diff --git a/sysdeps/unix/sysv/linux/clock_settime.c b/sysdeps/unix/sysv/linux/clock_settime.c
index 2a32e2eb13..db9698ba0d 100644
--- a/sysdeps/unix/sysv/linux/clock_settime.c
+++ b/sysdeps/unix/sysv/linux/clock_settime.c
@@ -41,7 +41,7 @@ __clock_settime64 (clockid_t clock_id, const struct __timespec64 *tp)
   if (ret == 0 || errno != ENOSYS)
     return ret;
 
-  if (! in_time_t_range (tp->tv_sec))
+  if (! in_int32_t_range (tp->tv_sec))
     {
       __set_errno (EOVERFLOW);
       return -1;
diff --git a/sysdeps/unix/sysv/linux/mq_timedreceive.c b/sysdeps/unix/sysv/linux/mq_timedreceive.c
index 5bf1e0a83b..6c719d4b70 100644
--- a/sysdeps/unix/sysv/linux/mq_timedreceive.c
+++ b/sysdeps/unix/sysv/linux/mq_timedreceive.c
@@ -36,7 +36,7 @@ ___mq_timedreceive_time64 (mqd_t mqdes, char *__restrict msg_ptr, size_t msg_len
 			 msg_prio, abs_timeout);
 #else
   bool need_time64 = abs_timeout != NULL
-		     && !in_time_t_range (abs_timeout->tv_sec);
+		     && !in_int32_t_range (abs_timeout->tv_sec);
   if (need_time64)
     {
       int r = SYSCALL_CANCEL (mq_timedreceive_time64, mqdes, msg_ptr, msg_len,
diff --git a/sysdeps/unix/sysv/linux/mq_timedsend.c b/sysdeps/unix/sysv/linux/mq_timedsend.c
index 3ca5050976..eb8353feef 100644
--- a/sysdeps/unix/sysv/linux/mq_timedsend.c
+++ b/sysdeps/unix/sysv/linux/mq_timedsend.c
@@ -36,7 +36,7 @@ ___mq_timedsend_time64 (mqd_t mqdes, const char *msg_ptr, size_t msg_len,
 			 msg_prio, abs_timeout);
 #else
   bool need_time64 = abs_timeout != NULL
-		     && !in_time_t_range (abs_timeout->tv_sec);
+		     && !in_int32_t_range (abs_timeout->tv_sec);
   if (need_time64)
     {
       int r = SYSCALL_CANCEL (mq_timedsend_time64, mqdes, msg_ptr, msg_len,
diff --git a/sysdeps/unix/sysv/linux/ppoll.c b/sysdeps/unix/sysv/linux/ppoll.c
index 2e173b931d..45b52d6c76 100644
--- a/sysdeps/unix/sysv/linux/ppoll.c
+++ b/sysdeps/unix/sysv/linux/ppoll.c
@@ -43,7 +43,7 @@ __ppoll64 (struct pollfd *fds, nfds_t nfds, const struct __timespec64 *timeout,
 			 __NSIG_BYTES);
 #else
   int ret;
-  bool need_time64 = timeout != NULL && !in_time_t_range (timeout->tv_sec);
+  bool need_time64 = timeout != NULL && !in_int32_t_range (timeout->tv_sec);
   if (need_time64)
     {
       ret = SYSCALL_CANCEL (ppoll_time64, fds, nfds, timeout, sigmask,
diff --git a/sysdeps/unix/sysv/linux/pselect.c b/sysdeps/unix/sysv/linux/pselect.c
index eba1c111f8..23fd0dfad6 100644
--- a/sysdeps/unix/sysv/linux/pselect.c
+++ b/sysdeps/unix/sysv/linux/pselect.c
@@ -56,7 +56,7 @@ __pselect64 (int nfds, fd_set *readfds, fd_set *writefds, fd_set *exceptfds,
   return pselect64_syscall (nfds, readfds, writefds, exceptfds, timeout,
 			    sigmask);
 #else
-  bool need_time64 = timeout != NULL && !in_time_t_range (timeout->tv_sec);
+  bool need_time64 = timeout != NULL && !in_int32_t_range (timeout->tv_sec);
   if (need_time64)
     {
       int r = pselect64_syscall (nfds, readfds, writefds, exceptfds, timeout,
diff --git a/sysdeps/unix/sysv/linux/recvmmsg.c b/sysdeps/unix/sysv/linux/recvmmsg.c
index d9664d61c4..1ba5a4f25c 100644
--- a/sysdeps/unix/sysv/linux/recvmmsg.c
+++ b/sysdeps/unix/sysv/linux/recvmmsg.c
@@ -35,7 +35,7 @@ recvmmsg_syscall (int fd, struct mmsghdr *vmessages, unsigned int vlen,
   struct timespec ts32, *pts32 = NULL;
   if (timeout != NULL)
     {
-      if (! in_time_t_range (timeout->tv_sec))
+      if (! in_int32_t_range (timeout->tv_sec))
 	{
 	  __set_errno (EINVAL);
 	  return -1;
diff --git a/sysdeps/unix/sysv/linux/select.c b/sysdeps/unix/sysv/linux/select.c
index a3f0a2eba7..fd147dfdd4 100644
--- a/sysdeps/unix/sysv/linux/select.c
+++ b/sysdeps/unix/sysv/linux/select.c
@@ -72,7 +72,7 @@ __select64 (int nfds, fd_set *readfds, fd_set *writefds, fd_set *exceptfds,
     TIMESPEC_TO_TIMEVAL (timeout, pts64);
   return r;
 #else
-  bool need_time64 = timeout != NULL && !in_time_t_range (timeout->tv_sec);
+  bool need_time64 = timeout != NULL && !in_int32_t_range (timeout->tv_sec);
   if (need_time64)
     {
       int r = SYSCALL_CANCEL (pselect6_time64, nfds, readfds, writefds,
diff --git a/sysdeps/unix/sysv/linux/semtimedop.c b/sysdeps/unix/sysv/linux/semtimedop.c
index 38a401bb6f..0cdc0fad4b 100644
--- a/sysdeps/unix/sysv/linux/semtimedop.c
+++ b/sysdeps/unix/sysv/linux/semtimedop.c
@@ -42,7 +42,7 @@ __semtimedop64 (int semid, struct sembuf *sops, size_t nsops,
 #ifdef __ASSUME_TIME64_SYSCALLS
   return semtimedop_syscall (semid, sops, nsops, timeout);
 #else
-  bool need_time64 = timeout != NULL && !in_time_t_range (timeout->tv_sec);
+  bool need_time64 = timeout != NULL && !in_int32_t_range (timeout->tv_sec);
   if (need_time64)
     {
       int r = semtimedop_syscall (semid, sops, nsops, timeout);
diff --git a/sysdeps/unix/sysv/linux/setitimer.c b/sysdeps/unix/sysv/linux/setitimer.c
index 6d5183aa63..55e6003e0f 100644
--- a/sysdeps/unix/sysv/linux/setitimer.c
+++ b/sysdeps/unix/sysv/linux/setitimer.c
@@ -32,8 +32,8 @@ __setitimer64 (__itimer_which_t which,
 #else
   struct __itimerval32 new_value_32;
 
-  if (! in_time_t_range (new_value->it_interval.tv_sec)
-      || ! in_time_t_range (new_value->it_value.tv_sec))
+  if (! in_int32_t_range (new_value->it_interval.tv_sec)
+      || ! in_int32_t_range (new_value->it_value.tv_sec))
     {
       __set_errno (EOVERFLOW);
       return -1;
diff --git a/sysdeps/unix/sysv/linux/setsockopt.c b/sysdeps/unix/sysv/linux/setsockopt.c
index 4292f411f3..6506ca03ab 100644
--- a/sysdeps/unix/sysv/linux/setsockopt.c
+++ b/sysdeps/unix/sysv/linux/setsockopt.c
@@ -54,7 +54,7 @@ setsockopt32 (int fd, int level, int optname, const void *optval,
 	  }
 
 	struct __timeval64 *tv64 = (struct __timeval64 *) optval;
-	if (! in_time_t_range (tv64->tv_sec))
+	if (! in_int32_t_range (tv64->tv_sec))
 	  {
 	    __set_errno (EOVERFLOW);
 	    break;
diff --git a/sysdeps/unix/sysv/linux/sigtimedwait.c b/sysdeps/unix/sysv/linux/sigtimedwait.c
index 069fa1d5e4..1993e3f85a 100644
--- a/sysdeps/unix/sysv/linux/sigtimedwait.c
+++ b/sysdeps/unix/sysv/linux/sigtimedwait.c
@@ -31,7 +31,7 @@ __sigtimedwait64 (const sigset_t *set, siginfo_t *info,
   result = SYSCALL_CANCEL (rt_sigtimedwait_time64, set, info, timeout,
 			   __NSIG_BYTES);
 #else
-  bool need_time64 = timeout != NULL && !in_time_t_range (timeout->tv_sec);
+  bool need_time64 = timeout != NULL && !in_int32_t_range (timeout->tv_sec);
   if (need_time64)
     {
       result = SYSCALL_CANCEL (rt_sigtimedwait_time64, set, info, timeout,
diff --git a/sysdeps/unix/sysv/linux/timer_settime.c b/sysdeps/unix/sysv/linux/timer_settime.c
index 518fed9c59..056e0aff59 100644
--- a/sysdeps/unix/sysv/linux/timer_settime.c
+++ b/sysdeps/unix/sysv/linux/timer_settime.c
@@ -46,8 +46,8 @@ ___timer_settime64 (timer_t timerid, int flags,
 #  endif
   struct itimerspec its32, oits32;
 
-  if (! in_time_t_range ((value->it_value).tv_sec)
-      || ! in_time_t_range ((value->it_interval).tv_sec))
+  if (! in_int32_t_range ((value->it_value).tv_sec)
+      || ! in_int32_t_range ((value->it_interval).tv_sec))
     {
       __set_errno (EOVERFLOW);
       return -1;
diff --git a/sysdeps/unix/sysv/linux/timerfd_settime.c b/sysdeps/unix/sysv/linux/timerfd_settime.c
index 59282bf1ad..c5f3f14c3b 100644
--- a/sysdeps/unix/sysv/linux/timerfd_settime.c
+++ b/sysdeps/unix/sysv/linux/timerfd_settime.c
@@ -33,8 +33,8 @@ __timerfd_settime64 (int fd, int flags, const struct __itimerspec64 *value,
 #ifdef __ASSUME_TIME64_SYSCALLS
   return INLINE_SYSCALL_CALL (timerfd_settime64, fd, flags, value, ovalue);
 #else
-  bool need_time64 = !in_time_t_range (value->it_value.tv_sec)
-		     || !in_time_t_range (value->it_interval.tv_sec);
+  bool need_time64 = !in_int32_t_range (value->it_value.tv_sec)
+		     || !in_int32_t_range (value->it_interval.tv_sec);
   if (need_time64)
     {
       int r = INLINE_SYSCALL_CALL (timerfd_settime64, fd, flags, value,
diff --git a/sysdeps/unix/sysv/linux/utimensat.c b/sysdeps/unix/sysv/linux/utimensat.c
index 5662ecc9aa..54a5e47618 100644
--- a/sysdeps/unix/sysv/linux/utimensat.c
+++ b/sysdeps/unix/sysv/linux/utimensat.c
@@ -41,9 +41,9 @@ __utimensat64_helper (int fd, const char *file,
 
   bool need_time64 = tsp64 != NULL
 		     && ((!TS_SPECIAL (tsp64[0])
-			  && !in_time_t_range (tsp64[0].tv_sec))
+			  && !in_int32_t_range (tsp64[0].tv_sec))
 			 || (!TS_SPECIAL (tsp64[1])
-			     && !in_time_t_range (tsp64[1].tv_sec)));
+			     && !in_int32_t_range (tsp64[1].tv_sec)));
   if (need_time64)
     {
       int r = INLINE_SYSCALL_CALL (utimensat_time64, fd, file, &tsp64[0],