diff --git a/tests/test_ssl.py b/tests/test_ssl.py
index fafffa3..1ca7f8b 100644
--- a/tests/test_ssl.py
+++ b/tests/test_ssl.py
@@ -2509,12 +2509,14 @@
         # Make this work on both OpenSSL 1.0.0, which doesn't support TLSv1.2
         # and also on OpenSSL 1.1.0 which doesn't support SSLv3. (SSL_ST_INIT
         # is a way to check for 1.1.0)
-        if SSL_ST_INIT is not None:
+        if SSL_ST_INIT is None:
+            v1 = TLSv1_2_METHOD
+            v2 = TLSv1_METHOD
+        elif hasattr(_lib, "SSLv3_method"):
             v1 = TLSv1_METHOD
             v2 = SSLv3_METHOD
         else:
-            v1 = TLSv1_2_METHOD
-            v2 = TLSv1_METHOD
+            pytest.skip("Test requires either OpenSSL 1.1.0 or SSLv3")
 
         key = load_privatekey(FILETYPE_PEM, server_key_pem)
         cert = load_certificate(FILETYPE_PEM, server_cert_pem)