diff --git a/Lib/asyncore.py b/Lib/asyncore.py
index 874f101681a..edb1c7bf501 100644
--- a/Lib/asyncore.py
+++ b/Lib/asyncore.py
@@ -53,7 +53,7 @@ import time
 import warnings
 
 import os
-from errno import EALREADY, EINPROGRESS, EWOULDBLOCK, ECONNRESET, \
+from errno import EALREADY, EINPROGRESS, EWOULDBLOCK, ECONNRESET, EINVAL, \
      ENOTCONN, ESHUTDOWN, EINTR, EISCONN, EBADF, ECONNABORTED, errorcode
 
 try:
@@ -337,8 +337,8 @@ class dispatcher:
     def connect(self, address):
         self.connected = False
         err = self.socket.connect_ex(address)
-        # XXX Should interpret Winsock return values
-        if err in (EINPROGRESS, EALREADY, EWOULDBLOCK):
+        if err in (EINPROGRESS, EALREADY, EWOULDBLOCK) \
+        or err == EINVAL and os.name in ('nt', 'ce'):
             return
         if err in (0, EISCONN):
             self.addr = address
diff --git a/Misc/NEWS b/Misc/NEWS
index 75375abe399..dbfdae59180 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -123,6 +123,9 @@ Extensions
 Library
 -------
 
+- Issue #658749: asyncore's connect() method now correctly interprets winsock
+  errors;
+
 - Issue #9501: Fixed logging regressions in cleanup code.
 
 - Fix functools.total_ordering() to actually work.