diff --git a/test-requirements.txt b/test-requirements.txt
index 17fa9f1..fa8c861 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -5,4 +5,4 @@ hacking>=3.0.1,<3.1.0;python_version>='3.5' # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 pycodestyle>=2.0.0,<2.6.0 # MIT
-flake8-import-order==0.11 # LGPLv3
+flake8-import-order>=0.11 # LGPLv3
diff --git a/test-requirements.txt b/test-requirements.txt
index fa8c861..3c5bb61 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -4,5 +4,5 @@
 hacking>=3.0.1,<3.1.0;python_version>='3.5' # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
-pycodestyle>=2.0.0,<2.6.0 # MIT
+pycodestyle>=2.0.0 # MIT
 flake8-import-order>=0.11 # LGPLv3
diff --git a/test-requirements.txt b/test-requirements.txt
index 3c5bb61..bfd397d 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,7 +1,7 @@
 # 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.
-hacking>=3.0.1,<3.1.0;python_version>='3.5' # Apache-2.0
+hacking>=3.0.1;python_version>='3.5' # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 pycodestyle>=2.0.0 # MIT