--- x/kernel/time/alarmtimer.c
+++ y/kernel/time/alarmtimer.c
@@ -549,11 +549,15 @@ static enum alarmtimer_restart alarm_han
 		si_private = ++ptr->it_requeue_pending;
 
 	if (posix_timer_event(ptr, si_private) && ptr->it_interval) {
+		ktime_t nspj = NSEC_PER_SEC / HZ;
+
+		if (nspj <= ptr->it_interval)
+			nspj = ptr->it_interval;
 		/*
 		 * Handle ignored signals and rearm the timer. This will go
 		 * away once we handle ignored signals proper.
 		 */
-		ptr->it_overrun += alarm_forward_now(alarm, ptr->it_interval);
+		ptr->it_overrun += alarm_forward_now(alarm, nspj);
 		++ptr->it_requeue_pending;
 		ptr->it_active = 1;
 		result = ALARMTIMER_RESTART;