diff --git a/Lib/ssl.py b/Lib/ssl.py
index 43c91a2..f405e8d 100644
--- a/Lib/ssl.py
+++ b/Lib/ssl.py
@@ -977,8 +977,7 @@ def sslwrap_simple(sock, keyfile=None, certfile=None):
     if hasattr(sock, "_sock"):
         sock = sock._sock
 
-    ssl_sock = _ssl.sslwrap(sock, 0, keyfile, certfile, CERT_NONE,
-                            PROTOCOL_SSLv23, None)
+    ssl_sock = wrap_socket(sock, keyfile=keyfile, certfile=certfile)
     try:
         sock.getpeername()
     except socket_error: