diff --git a/requirements.txt b/requirements.txt
index 9c9aec2..f5a9e59 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,4 +1,4 @@
 paramiko==2.10.4
-tornado==5.1.1; python_version < '3.5'
-tornado==6.1.0; python_version >= '3.5'
+tornado==6.3.3; python_version < '3.5'
+tornado==6.3.3; python_version >= '3.5'
 cryptography>=39.0.1 # not directly required, pinned by Snyk to avoid a vulnerability