diff --git a/requirements.txt b/requirements.txt
index 38cfc0665..9e1106f89 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -2,7 +2,7 @@
 # of appearance. Changing the order has an impact on the overall integration
 # process, which may cause wedges in the gate later.
 pbr!=2.1.0,>=2.0.0 # Apache-2.0
-eventlet!=0.18.3,>=0.18.2 # MIT
+eventlet!=0.18.3,<0.21.0,>=0.18.2 # MIT
 iso8601>=0.1.11 # MIT
 netaddr!=0.7.16,>=0.7.13 # BSD
 netifaces>=0.10.4 # MIT
diff --git a/test-requirements.txt b/test-requirements.txt
index 9e01b91f0..2afc89d05 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -13,7 +13,7 @@ flake8-import-order==0.11 # LGPLv3
 
 # Doc requirements
 doc8 # Apache-2.0
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 sphinxcontrib-pecanwsme>=0.8 # Apache-2.0
 oslosphinx>=4.7.0 # Apache-2.0
 reno>=1.8.0 # Apache-2.0