diff --git a/requirements.txt b/requirements.txt
index a5815a34c..6b84be991 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -38,7 +38,9 @@ psycopg2>=2.8
 python-dateutil>=2.8.0
 SQLAlchemy>=1.3.13
 Flask-Security-Too>=3.0.0
-bcrypt<=3.1.7
-cryptography<=3.0
+bcrypt<=3.1.7;python_version<="3.5"
+bcrypt>=3.2.0;python_version>"3.5"
+cryptography<=3.0;python_version<="3.5"
+cryptography>=3.2;python_version>"3.5"
 sshtunnel>=0.1.5
 ldap3>=2.5.1