--- a/tests/test_ssl.py
+++ b/tests/test_ssl.py
@@ -1240,6 +1240,7 @@ class TestContext(object):
         reason="set_default_verify_paths appears not to work on Windows.  "
         "See LP#404343 and LP#404344.",
     )
+    @pytest.mark.network
     def test_set_default_verify_paths(self):
         """
         `Context.set_default_verify_paths` causes the platform-specific CA
--- a/setup.cfg
+++ b/setup.cfg
@@ -2,6 +2,8 @@
 minversion = 3.0.1
 strict = true
 testpaths = tests
+markers =
+   network: test case requires network connection
 
 [bdist_wheel]
 universal = 1
@@ -19,4 +21,3 @@ doc-files = doc/_build/html
 [egg_info]
 tag_build = 
 tag_date = 0
-