diff --git a/Lib/multiprocessing/pool.py b/Lib/multiprocessing/pool.py
index 2a8fae1..8555da9 100644
--- a/Lib/multiprocessing/pool.py
+++ b/Lib/multiprocessing/pool.py
@@ -447,12 +447,10 @@
         if pool and hasattr(pool[0], 'terminate'):
             debug('joining pool workers')
             for p in pool:
-                p.join()
-            for w in pool:
-                if w.exitcode is None:
+                if p.is_alive():
                     # worker has not yet exited
-                    debug('cleaning up worker %s' % w.pid)
-                    w.join()
+                    debug('cleaning up worker %d' % p.pid)
+                    p.join()
 
 #
 # Class whose instances are returned by `Pool.apply_async()`