diff --git a/requirements.txt b/requirements.txt
index 10adf21c..5d6c2877 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -14,4 +14,4 @@ oslo.log>=3.36.0 # Apache-2.0
 oslo.serialization!=2.19.1,>=2.18.0 # Apache-2.0
 oslo.service!=1.28.1,>=1.24.0 # Apache-2.0
 oslo.utils>=3.33.0 # Apache-2.0
-pyOpenSSL>=16.2.0 # Apache-2.0
+pyOpenSSL>=17.1.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index f527910b..87f6dea9 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -9,7 +9,7 @@ fixtures>=3.0.0 # Apache-2.0/BSD
 flake8-import-order==0.12 # LGPLv3
 mock>=2.0.0 # BSD
 python-subunit>=1.0.0 # Apache-2.0/BSD
-sphinx!=1.6.6,<1.7.0,>=1.6.2 # BSD
+sphinx!=1.6.6,>=1.6.2 # BSD
 oslosphinx>=4.7.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 testrepository>=0.0.18 # Apache-2.0/BSD