diff --git a/py35-upper-constraints.txt b/py35-upper-constraints.txt
deleted file mode 100644
index eb75ea9..0000000
--- a/py35-upper-constraints.txt
+++ /dev/null
@@ -1 +0,0 @@
-zipp===1.1.0
diff --git a/tox.ini b/tox.ini
index 31b2ce9..52bc775 100644
--- a/tox.ini
+++ b/tox.ini
@@ -13,12 +13,6 @@ 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]
 allowlist_externals = bash
 commands =