diff --git a/Lib/httplib.py b/Lib/httplib.py
index 2688359..2b32a1b 100644
--- a/Lib/httplib.py
+++ b/Lib/httplib.py
@@ -613,7 +613,10 @@
 
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
         sock.connect((self.host, self.port))
-        ssl = socket.ssl(sock, self.key_file, self.cert_file)
+        realsock = sock
+        if hasattr(sock, "_sock"):
+            realsock = sock._sock
+        ssl = socket.ssl(realsock, self.key_file, self.cert_file)
         self.sock = FakeSocket(sock, ssl)