diff --git a/doc/requirements.txt b/doc/requirements.txt
index 9284390..4355596 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,10 +1,6 @@
-# The order of packages is significant, because pip processes them in the order
-# of appearance. Changing the order has an impact on the overall integration
-# process, which may cause wedges in the gate later.
-
 # For generating sphinx documentation
 openstackdocstheme>=1.18.1 # Apache-2.0
-sphinx>=1.8.0,!=2.1.0 # BSD
+sphinx>=1.8.0 # BSD
 reno>=2.5.0 # Apache-2.0
 sphinxcontrib-apidoc>=0.2.0  # BSD
 
diff --git a/requirements.txt b/requirements.txt
index b4a4160..54d99d0 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,4 +1,4 @@
-pbr!=2.1.0,>=3.1.1 # Apache-2.0
+pbr>=3.1.1 # Apache-2.0
 
 # General
 oslo.utils>=3.41.0
diff --git a/test-requirements.txt b/test-requirements.txt
index de029d7..fc6082c 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,4 +3,4 @@ oslotest>=3.2.0 # Apache-2.0
 # Bandit security code scanner
 bandit>=1.7.0,<1.8.0 # Apache-2.0
 stestr>=2.0.0 # Apache-2.0
-coverage!=4.4,>=4.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0