diff --git a/fs/eventpoll.c b/fs/eventpoll.c
index 256bb7b..8cf0724 100644
--- a/fs/eventpoll.c
+++ b/fs/eventpoll.c
@@ -77,9 +77,6 @@
 /* Maximum number of nesting allowed inside epoll sets */
 #define EP_MAX_NESTS 4
 
-/* Maximum msec timeout value storeable in a long int */
-#define EP_MAX_MSTIMEO min(1000ULL * MAX_SCHEDULE_TIMEOUT / HZ, (LONG_MAX - 999ULL) / HZ)
-
 #define EP_MAX_EVENTS (INT_MAX / sizeof(struct epoll_event))
 
 #define EP_UNACTIVE_PTR ((void *) -1L)
@@ -1117,18 +1114,22 @@
 static int ep_poll(struct eventpoll *ep, struct epoll_event __user *events,
 		   int maxevents, long timeout)
 {
-	int res, eavail;
+	int res, eavail, timed_out = 0;
 	unsigned long flags;
-	long jtimeout;
+	long slack;
 	wait_queue_t wait;
+	struct timespec end_time;
+	ktime_t expires, *to = NULL;
 
-	/*
-	 * Calculate the timeout by checking for the "infinite" value (-1)
-	 * and the overflow condition. The passed timeout is in milliseconds,
-	 * that why (t * HZ) / 1000.
-	 */
-	jtimeout = (timeout < 0 || timeout >= EP_MAX_MSTIMEO) ?
-		MAX_SCHEDULE_TIMEOUT : (timeout * HZ + 999) / 1000;
+	if (timeout > 0) {
+		ktime_get_ts(&end_time);
+		timespec_add_ns(&end_time, (u64)timeout * NSEC_PER_MSEC);
+		slack = select_estimate_accuracy(&end_time);
+		to = &expires;
+		*to = timespec_to_ktime(end_time);
+	} else if (timeout == 0) {
+		timed_out = 1;
+	}
 
 retry:
 	spin_lock_irqsave(&ep->lock, flags);
@@ -1150,7 +1151,7 @@
 			 * to TASK_INTERRUPTIBLE before doing the checks.
 			 */
 			set_current_state(TASK_INTERRUPTIBLE);
-			if (!list_empty(&ep->rdllist) || !jtimeout)
+			if (!list_empty(&ep->rdllist) || timed_out)
 				break;
 			if (signal_pending(current)) {
 				res = -EINTR;
@@ -1158,7 +1159,9 @@
 			}
 
 			spin_unlock_irqrestore(&ep->lock, flags);
-			jtimeout = schedule_timeout(jtimeout);
+			if (!schedule_hrtimeout_range(to, slack, HRTIMER_MODE_ABS))
+				timed_out = 1;
+
 			spin_lock_irqsave(&ep->lock, flags);
 		}
 		__remove_wait_queue(&ep->wq, &wait);
@@ -1176,7 +1179,7 @@
 	 * more luck.
 	 */
 	if (!res && eavail &&
-	    !(res = ep_send_events(ep, events, maxevents)) && jtimeout)
+	    !(res = ep_send_events(ep, events, maxevents)) && !timed_out)
 		goto retry;
 
 	return res;
diff --git a/fs/select.c b/fs/select.c
index 5f023f9..b7b10aa 100644
--- a/fs/select.c
+++ b/fs/select.c
@@ -67,7 +67,7 @@
 	return slack;
 }
 
-static long select_estimate_accuracy(struct timespec *tv)
+long select_estimate_accuracy(struct timespec *tv)
 {
 	unsigned long ret;
 	struct timespec now;
diff --git a/include/linux/poll.h b/include/linux/poll.h
index 600cc1f..56e76af 100644
--- a/include/linux/poll.h
+++ b/include/linux/poll.h
@@ -73,6 +73,8 @@
 extern void poll_freewait(struct poll_wqueues *pwq);
 extern int poll_schedule_timeout(struct poll_wqueues *pwq, int state,
 				 ktime_t *expires, unsigned long slack);
+extern long select_estimate_accuracy(struct timespec *tv);
+
 
 static inline int poll_schedule(struct poll_wqueues *pwq, int state)
 {