diff --git a/lower-constraints.txt b/lower-constraints.txt
new file mode 100644
index 00000000..17cb06db
--- /dev/null
+++ b/lower-constraints.txt
@@ -0,0 +1,10 @@
+coverage===4.0
+fixtures===3.0.0
+oslotest===3.2.0
+os-testr===1.0.0
+pycrypto===2.6
+python-subunit===1.0.0
+Sphinx===1.6.5
+testrepository===0.0.18
+testscenarios===0.4
+testtools===2.2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index e75cb204..02b01178 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,12 +1,10 @@
 hacking>=0.5.6
-
-coverage>=3.6
-discover
-fixtures>=0.3.14
-python-subunit
-sphinx>=1.1.2
-testrepository>=0.0.17
+coverage>=4.0
+fixtures>=3.0.0
+python-subunit>=1.0.0
+sphinx>=1.6.5
+testrepository>=0.0.18
 testscenarios>=0.4
-testtools>=0.9.32
-os-testr>=0.8.0 # Apache-2.0
-oslotest>=1.10.0 # Apache-2.0
+testtools>=2.2.0
+os-testr>=1.0.0 # Apache-2.0
+oslotest>=3.2.0 # Apache-2.0
diff --git a/tox.ini b/tox.ini
index 80444ae0..33b4bc6e 100644
--- a/tox.ini
+++ b/tox.ini
@@ -32,3 +32,10 @@ show-source = true
 
 [pep8]
 ignore = E731,E226,E123
+
+[testenv:lower-constraints]
+basepython = python3
+deps =
+  -c{toxinidir}/lower-constraints.txt
+  -r{toxinidir}/test-requirements.txt
+  -r{toxinidir}/requirements.txt
diff --git a/zuul.d/project.yaml b/zuul.d/project.yaml
new file mode 100644
index 00000000..67a39c42
--- /dev/null
+++ b/zuul.d/project.yaml
@@ -0,0 +1,7 @@
+- project:
+    check:
+      jobs:
+        - openstack-tox-lower-constraints
+    gate:
+      jobs:
+        - openstack-tox-lower-constraints