diff --git a/tox.ini b/tox.ini
index 830ce3f8a3..38cf635939 100644
--- a/tox.ini
+++ b/tox.ini
@@ -26,6 +26,15 @@ commands =
     bash -c "find trove -type f -regex '.*\.pot?' -print0 | \
              xargs -0 -n 1 msgfmt --check-format -o /dev/null"
 
+[testenv:py34]
+# Use a whitelist of tests known to pass on Python 3, until
+# all unit tests will pass on Python 3.
+commands =
+    python -bb -m testtools.run \
+        trove/tests/unittests/common/test_context.py \
+        trove/tests/unittests/common/test_exception.py \
+        trove/tests/unittests/common/test_wsgi.py
+
 [testenv:debug]
 commands = oslo_debug_helper {posargs}