diff --git a/test-requirements.txt b/test-requirements.txt
index 432c62ea6..d859abe97 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -28,7 +28,7 @@ kafka-python>=1.3.1 # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 
 # this is required for the docs build jobs
-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
 
@@ -39,5 +39,5 @@ pyngus>=2.0.2 # Apache-2.0
 # Bandit security code scanner
 bandit>=1.1.0 # Apache-2.0
 
-eventlet!=0.18.3,>=0.18.2 # MIT
+eventlet!=0.18.3,<0.21.0,>=0.18.2 # MIT
 greenlet>=0.3.2 # MIT