diff --git a/tox.ini b/tox.ini
index d549d47e..152b8212 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,10 +1,11 @@
 [tox]
-minversion = 3.18.0
+minversion = 4.4.0
 envlist = py3,pep8
 ignore_basepython_conflict=true
 
 [testenv]
 basepython = python3
+constrain_package_deps = true
 usedevelop = True
 setenv = VIRTUAL_ENV={envdir}
          PYTHONDONTWRITEBYTECODE = 1
@@ -40,6 +41,7 @@ deps =
     pycodestyle>=2.0.0,<3.0.0 # MIT
     Pygments>=2.2.0 # BSD
     doc8>=0.6.0 # Apache 2.0
+    -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/master}
 commands =
     flake8 {posargs}
     doc8 README.rst doc/source --ignore D001
@@ -81,4 +83,4 @@ deps = codespell
 # note(adamcarthur): {posargs} lets us run `tox -ecodespell -- -w` to get codespell
 #             to correct spelling issues in our code it's aware of.
 commands =
-  codespell {posargs}
\ No newline at end of file
+  codespell {posargs}