diff -ur a/Modules/_ssl.c b/Modules/_ssl.c
--- a/Modules/_ssl.c	2013-10-29 16:04:38.000000000 +0100
+++ b/Modules/_ssl.c	2016-03-06 07:01:17.303345390 +0100
@@ -300,8 +300,10 @@
     PySSL_BEGIN_ALLOW_THREADS
     if (proto_version == PY_SSL_VERSION_TLS1)
         self->ctx = SSL_CTX_new(TLSv1_method()); /* Set up context */
+#ifndef OPENSSL_NO_SSL3
     else if (proto_version == PY_SSL_VERSION_SSL3)
         self->ctx = SSL_CTX_new(SSLv3_method()); /* Set up context */
+#endif
 #ifndef OPENSSL_NO_SSL2
     else if (proto_version == PY_SSL_VERSION_SSL2)
         self->ctx = SSL_CTX_new(SSLv2_method()); /* Set up context */