diff --git a/dev/tasks/python-wheels/github.linux.yml b/dev/tasks/python-wheels/github.linux.yml
index 7a9a91b3029de..ec5b9b31da8e1 100644
--- a/dev/tasks/python-wheels/github.linux.yml
+++ b/dev/tasks/python-wheels/github.linux.yml
@@ -152,8 +152,10 @@ jobs:
       {{ macros.github_upload_gemfury("arrow/python/repaired_wheels/*.whl")|indent }}
       {{ macros.github_upload_wheel_scientific_python("arrow/python/repaired_wheels/*.whl")|indent }}
 
+      {% if arrow.is_default_branch() %}
       - name: Push Docker images
         shell: bash
         run: |
           archery docker push python-wheel-manylinux-{{ manylinux_version }}
           archery docker push ${TEST_IMAGE_PREFIX}-wheel-manylinux-test-unittests
+      {% endif %}