diff --git a/conda/recipes/cugraph/meta.yaml b/conda/recipes/cugraph/meta.yaml
index 9f5a137fab..094b30c5fc 100644
--- a/conda/recipes/cugraph/meta.yaml
+++ b/conda/recipes/cugraph/meta.yaml
@@ -75,10 +75,10 @@ requirements:
     - {{ pin_compatible('cuda-version', max_pin='x', min_pin='x') }}
     {% if cuda_major == "11" %}
     - cudatoolkit
-    - cuda-python >=11.7.1,<12.0a0
+    - cuda-python >=11.8.5,<12.0a0
     {% else %}
     - cuda-cudart
-    - cuda-python >=12.0,<13.0a0
+    - cuda-python >=12.6.2,<13.0a0
     {% endif %}
     - cudf ={{ minor_version }}
     - cupy >=12.0.0