diff --git a/requirements/celery44.txt b/requirements/celery44.txt
index b7486d8..7d814e9 100644
--- a/requirements/celery44.txt
+++ b/requirements/celery44.txt
@@ -1,6 +1,6 @@
 amqp==2.6.1
 billiard==3.6.4.0
-celery==4.4.7
+celery==5.2.2
 click==8.1.3
 kombu==4.6.11
 vine==1.3.0
diff --git a/requirements/constraints.txt b/requirements/constraints.txt
index 465a221..009230c 100644
--- a/requirements/constraints.txt
+++ b/requirements/constraints.txt
@@ -11,4 +11,4 @@
 # Common constraints for edx repos
 -c common_constraints.txt
 
-celery<5.0 # we still want to support celery 4
+celery<6.0 # we still want to support celery 4