diff --git a/conda/recipes/ucxx/meta.yaml b/conda/recipes/ucxx/meta.yaml
index da9f5ce6..c3c03c94 100644
--- a/conda/recipes/ucxx/meta.yaml
+++ b/conda/recipes/ucxx/meta.yaml
@@ -271,8 +271,7 @@ outputs:
         - tomli
       run:
         - python * *_cpython
-        - dask >=2023.9.2
-        - distributed >=2023.9.2
+        - rapids-dask-dependency ={{ minor_version }}
         - {{ pin_subpackage('ucxx', max_pin='x.x') }}
     test:
       imports: