diff --git a/test-requirements.txt b/test-requirements.txt
index 711a43364..432c62ea6 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -25,7 +25,7 @@ kafka-python>=1.3.1 # Apache-2.0
 # when we can require tox>= 1.4, this can go into tox.ini:
 #  [testenv:cover]
 #  deps = {[testenv]deps} coverage
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 
 # this is required for the docs build jobs
 sphinx>=1.5.1 # BSD