diff --git a/lower-constraints.txt b/lower-constraints.txt
index c0d07206025..81e82435202 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -50,7 +50,7 @@ Mako==0.4.0
 MarkupSafe==1.0
 mccabe==0.2.1
 mock==2.0.0
-monotonic==0.6
+monotonic==0.6;python_version<'3.3'
 mox3==0.20.0
 msgpack-python==0.4.0
 munch==2.1.0