diff --git a/doc/requirements.txt b/doc/requirements.txt
index 7b6a1e7e..54d27709 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,3 +1,3 @@
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 openstackdocstheme>=2.2.1 # Apache-2.0
 sphinxcontrib-apidoc>=0.2.0  # BSD
diff --git a/requirements.txt b/requirements.txt
index c652c430..e8800654 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,8 +1,4 @@
-# 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.
-
-pbr!=2.1.0,>=2.0.0 # Apache-2.0
+pbr>=2.0.0 # Apache-2.0
 oslo.concurrency>=3.26.0 # Apache-2.0
 oslo.config>=5.2.0 # Apache-2.0
 oslo.i18n>=3.15.3 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 70bf6260..009d8305 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,8 +1,4 @@
-# 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.
-
-coverage!=4.4,>=4.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0
 stestr>=1.0.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 fixtures>=3.0.0 # Apache-2.0/BSD