diff --git a/bindep.txt b/bindep.txt
index 24697297..db40f864 100644
--- a/bindep.txt
+++ b/bindep.txt
@@ -24,7 +24,6 @@ pkgconfig [platform:rpm]
 python-dev [platform:dpkg]
 python-devel [platform:rpm]
 python-lxml
-python-zmq
 python3-all-dev [platform:ubuntu !platform:ubuntu-precise]
 python3-dev [platform:dpkg]
 python3-devel [platform:fedora]
diff --git a/lower-constraints.txt b/lower-constraints.txt
index ac4f1808..17431f57 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -3,12 +3,12 @@ appdirs==1.3.0
 asn1crypto==0.23.0
 Babel==2.3.4
 cachetools==2.0.0
-cffi==1.7.0
+cffi==1.14
 cliff==2.8.0
 cmd2==0.8.0
 contextlib2==0.4.0
 coverage==4.0
-cryptography==2.1
+cryptography==3.0
 ddt==1.0.1
 debtcollector==1.2.0
 decorator==3.4.0
@@ -70,7 +70,7 @@ prettytable==0.7.2
 pycparser==2.18
 pyinotify==0.9.6
 pymongo==3.0.2
-pyOpenSSL==17.1.0
+pyOpenSSL==19.1.0
 pyparsing==2.1.0
 pyperclip==1.5.27
 pyScss==1.3.7