diff --git a/pkgs/development/python-modules/celery/default.nix b/pkgs/development/python-modules/celery/default.nix
index d0d4f2e69fb8..740023c1fdb9 100644
--- a/pkgs/development/python-modules/celery/default.nix
+++ b/pkgs/development/python-modules/celery/default.nix
@@ -4,14 +4,16 @@
 
 buildPythonPackage rec {
   pname = "celery";
-  version = "4.4.2";
+  version = "4.4.4";
 
   src = fetchPypi {
     inherit pname version;
-    sha256 = "0ps1c6ill7q0m5kzb87hisgshdk3kzpa6cvcjch1d1wa07whp2hh";
+    sha256 = "0zk42fxznrhww0dxak9b6nkfqg02z49zr839k6ql7nk3him7n0y2";
   };
 
   postPatch = ''
+    substituteInPlace requirements/default.txt \
+      --replace "kombu>=4.6.10,<4.7" "kombu"
     substituteInPlace requirements/test.txt \
       --replace "moto==1.3.7" moto \
       --replace "pytest>=4.3.1,<4.4.0" pytest
@@ -20,9 +22,13 @@ buildPythonPackage rec {
   # ignore test that's incompatible with pytest5
   # test_eventlet touches network
   # test_mongodb requires pymongo
+  # test_multi tries to create directories under /var
   checkPhase = ''
-    pytest -k 'not restore_current_app_fallback and not msgpack and not on_apply' \
+    pytest -k 'not restore_current_app_fallback and not msgpack and not on_apply and not pytest' \
+      --ignore=t/unit/contrib/test_pytest.py \
       --ignore=t/unit/concurrency/test_eventlet.py \
+      --ignore=t/unit/bin/test_multi.py \
+      --ignore=t/unit/apps/test_multi.py \
       --ignore=t/unit/backends/test_mongodb.py
   '';