diff -r 0a71d29b970a Lib/asyncio/base_events.py
--- a/Lib/asyncio/base_events.py	Mon Feb 03 00:35:46 2014 +0100
+++ b/Lib/asyncio/base_events.py	Mon Feb 03 01:38:15 2014 +0100
@@ -618,6 +618,10 @@ class BaseEventLoop(events.AbstractEvent
                 timeout = deadline
             else:
                 timeout = min(timeout, deadline)
+            # The timeout parameter of epoll_wait() is a C int which represents
+            # a number of milliseconds. Loop one more time if the timeout
+            # in millisecond is larger than an C int (2^31-1).
+            timeout = min(timeout, 2 ** 31 // 1000)
 
         # TODO: Instrumentation only in debug mode?
         if logger.isEnabledFor(logging.INFO):