diff --git a/lower-constraints.txt b/lower-constraints.txt
index ad7996f..7be58e1 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -1,12 +1,12 @@
 appdirs==1.3.0
 asn1crypto==0.23.0
 certifi==2020.4.5.2
-cffi==1.13.2
+cffi==1.14.0
 chardet==3.0.4
 cliff==2.8.0
 cmd2==0.8.0
 coverage==4.0
-cryptography==2.1
+cryptography==2.7
 debtcollector==1.2.0
 entrypoints==0.3
 extras==1.0.0
@@ -43,7 +43,7 @@
 python-mimeparse==1.6.0
 python-subunit==1.0.0
 pytz==2013.6
-PyYAML==3.12
+PyYAML==3.13
 requests==2.18.0
 requestsexceptions==1.2.0
 rfc3986==0.3.1
diff --git a/requirements.txt b/requirements.txt
index 369de27..7a460bc 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -3,7 +3,7 @@
 # process, which may cause wedges in the gate later.
 
 pbr!=2.1.0,>=2.0.0 # Apache-2.0
-cryptography>=2.1 # BSD/Apache-2.0
+cryptography>=2.7 # BSD/Apache-2.0
 python-barbicanclient>=4.5.2 # Apache-2.0
 oslo.config>=6.4.0 # Apache-2.0
 oslo.context>=2.19.2 # Apache-2.0