diff --git a/test-requirements.txt b/test-requirements.txt
index beb456d58f..fbdad4444e 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,11 +3,11 @@
 # process, which may cause wedges in the gate later.
 hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
 # needed for doc build
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 oslosphinx>=4.7.0 # Apache-2.0
 reno>=1.8.0 # Apache-2.0
 mock>=2.0 # BSD
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 oslotest>=1.10.0 # Apache-2.0
 flake8-import-order==0.11 # LGPLv3
 openstackdocstheme>=1.5.0 # Apache-2.0