diff --git a/swift/__init__.py b/swift/__init__.py
index 2b25322773..fff22a0889 100644
--- a/swift/__init__.py
+++ b/swift/__init__.py
@@ -85,3 +85,7 @@ warnings.filterwarnings('ignore', module='cryptography|OpenSSL', message=(
     'Python 2 is no longer supported by the Python core team. '
     'Support for it is now deprecated in cryptography, '
     'and will be removed in the next release.'))
+warnings.filterwarnings('ignore', message=(
+    'Python 3.6 is no longer supported by the Python core team. '
+    'Therefore, support for it is deprecated in cryptography '
+    'and will be removed in a future release.'))
diff --git a/test/__init__.py b/test/__init__.py
index 959cb6755f..fbcb273679 100644
--- a/test/__init__.py
+++ b/test/__init__.py
@@ -46,6 +46,10 @@ warnings.filterwarnings('ignore', module='cryptography|OpenSSL', message=(
     'Python 2 is no longer supported by the Python core team. '
     'Support for it is now deprecated in cryptography, '
     'and will be removed in the next release.'))
+warnings.filterwarnings('ignore', message=(
+    'Python 3.6 is no longer supported by the Python core team. '
+    'Therefore, support for it is deprecated in cryptography '
+    'and will be removed in a future release.'))
 
 if sys.version_info < (3, 2):
     import unittest