Index: Lib/ssl.py
===================================================================
--- Lib/ssl.py	(revision 79391)
+++ Lib/ssl.py	(working copy)
@@ -255,7 +255,18 @@
 
     def unwrap(self):
         if self._sslobj:
-            s = self._sslobj.shutdown()
+            s = 0
+            try:
+                s = self._sslobj.shutdown()
+            except SSLError, err:
+                # Issue 8108.
+                # See also: http://marc.info/?l=openssl-users&m=126838806919896
+                if err.args[0] not in (SSL_ERROR_WANT_READ,
+                                       SSL_ERROR_WANT_WRITE):
+                    raise
+            except socket_error:
+                # remote site dropped the connection (errno.EPIPE or 0)
+                pass
             self._sslobj = None
             return s
         else: