diff --git a/requirements.txt b/requirements.txt
index de54f715c..1f693f8a1 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -7,7 +7,7 @@ aodhclient>=0.9.0 # Apache-2.0
 Babel!=2.4.0,>=2.3.4 # BSD
 croniter>=0.3.4 # MIT License
 cachetools>=2.0.0 # MIT License
-eventlet!=0.18.3,!=0.20.1,<0.21.0,>=0.18.2 # MIT
+eventlet!=0.18.3,!=0.20.1,>=0.18.2 # MIT
 gnocchiclient>=3.3.1 # Apache-2.0
 Jinja2>=2.10 # BSD License (3 clause)
 jsonschema<3.0.0,>=2.6.0 # MIT
diff --git a/test-requirements.txt b/test-requirements.txt
index 5f38e961c..ba8508f84 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -6,7 +6,6 @@ hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 croniter>=0.3.4 # MIT License
 doc8>=0.6.0 # Apache-2.0
-eventlet!=0.18.3,!=0.20.1,<0.21.0,>=0.18.2 # MIT
 fixtures>=3.0.0 # Apache-2.0/BSD
 keystonemiddleware>=4.17.0 # Apache-2.0
 mistral-lib>=0.3.0 # Apache-2.0