diff --git a/.github/workflows/build_wheels.yml b/.github/workflows/build_wheels.yml
index 7bbbb1a2e3db..069a435fa749 100644
--- a/.github/workflows/build_wheels.yml
+++ b/.github/workflows/build_wheels.yml
@@ -25,9 +25,9 @@ on:
   push:
     branches: ['master', 'release-*']
     tags: 'v*'
+    paths: ['sdks/python/**', 'model/**', 'release/**']
   pull_request:
     branches: ['master', 'release-*']
-    tags: 'v*'
     paths: ['sdks/python/**', 'model/**', 'release/**']
   workflow_dispatch:
 
@@ -229,6 +229,15 @@ jobs:
         ]
         # Keep in sync (remove asterisks) with PY_VERSIONS_FULL env var above - if changed, change that as well.
         py_version: ["cp310-", "cp311-", "cp312-", "cp313-"]
+        # The following exclude/include skips intermediate Python versions on GitHub hosted runners for PR run
+        is_pr:
+          - ${{ github.event_name == 'pull_request' }}
+        exclude:
+          - is_pr: true
+        include:
+          - os_python.os: "ubuntu-20.04"
+          - py_version: "cp310-"
+          - py_version: "cp313-"
     steps:
     - name: Download python source distribution from artifacts
       uses: actions/download-artifact@v5