diff --git a/py35-upper-constraints.txt b/py35-upper-constraints.txt
new file mode 100644
index 0000000..eb75ea9
--- /dev/null
+++ b/py35-upper-constraints.txt
@@ -0,0 +1 @@
+zipp===1.1.0
diff --git a/tox.ini b/tox.ini
index 8c6d279..3d802a7 100644
--- a/tox.ini
+++ b/tox.ini
@@ -14,6 +14,12 @@ deps =
 commands =
   stestr run --slowest {posargs}
 
+[testenv:py35]
+deps =
+  -c{toxinidir}/py35-upper-constraints.txt
+  -r{toxinidir}/requirements.txt
+  -r{toxinidir}/test-requirements.txt
+
 [testenv:integration]
 whitelist_externals = bash
 commands =