diff --git a/requirements/checkdocs.txt b/requirements/checkdocs.txt
index 40f324bc11c..293269dd666 100644
--- a/requirements/checkdocs.txt
+++ b/requirements/checkdocs.txt
@@ -99,7 +99,7 @@ tomli==2.0.1
     # via
     #   build
     #   pep517
-tornado==6.5.1
+tornado==6.5.5
     # via livereload
 typing-extensions==4.3.0
     # via myst-parser
diff --git a/requirements/docs.txt b/requirements/docs.txt
index 23100476c1d..fa5a916eddf 100644
--- a/requirements/docs.txt
+++ b/requirements/docs.txt
@@ -99,7 +99,7 @@ tomli==2.0.1
     # via
     #   build
     #   pep517
-tornado==6.5.1
+tornado==6.5.5
     # via livereload
 typing-extensions==4.3.0
     # via myst-parser