diff --git a/cheroot/test/test_ssl.py b/cheroot/test/test_ssl.py
index <HASH>..<HASH> 100644
--- a/cheroot/test/test_ssl.py
+++ b/cheroot/test/test_ssl.py
@@ -31,8 +31,6 @@ from ..testing import (
 
 IS_LIBRESSL_BACKEND = ssl.OPENSSL_VERSION.startswith('LibreSSL')
 PY27 = sys.version_info[:2] == (2, 7)
-PY37 = sys.version_info[:2] == (3, 7)
-PY38 = sys.version_info[:2] == (3, 8)
 
 
 fails_under_py3 = pytest.mark.xfail(
@@ -323,7 +321,7 @@ def test_http_over_https_error(ca, adapter_type, tls_http_server, ip_addr):
 
         expect_fallback_response_over_plain_http = (
             (adapter_type == 'pyopenssl'
-             and (IS_ABOVE_OPENSSL10 or PY37 or PY38))
+             and (IS_ABOVE_OPENSSL10 or six.PY3))
             or PY27
         )
         if expect_fallback_response_over_plain_http:
Expect nice behavior from py3+pyopenssl