diff --git a/requirements.txt b/requirements.txt
index c867cd6..b681225 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,11 +1,11 @@
 # Primary requirements
-pyOpenSSL==0.15.1
+pyopenssl==16.2.0
 requests==2.13.0
 
 # Secondary requirements
 cffi==1.9.1
-cryptography<1.5  # see https://github.com/burnash/gspread/issues/407
-idna==2.4
+cryptography==1.7.2
+idna==2.5
 pyasn1==0.2.3
 pycparser==2.17
 six==1.10.0