diff --git a/Lib/multiprocessing/connection.py b/Lib/multiprocessing/connection.py
index 9411c39..cbdcf13 100644
--- a/Lib/multiprocessing/connection.py
+++ b/Lib/multiprocessing/connection.py
@@ -11,6 +11,7 @@
 import os
 import sys
 import socket
+import errno
 import time
 import tempfile
 import itertools
@@ -250,7 +251,7 @@
         try:
             s.connect(address)
         except socket.error, e:
-            if e.args[0] != 10061:    # 10061 => connection refused
+            if e.args[0] != errno.ECONNREFUSED: # connection refused
                 debug('failed to connect to address %s', address)
                 raise
             time.sleep(0.01)