diff --git a/.github/workflows/rust-release.yml b/.github/workflows/rust-release.yml
index f805c8e79c..4a1cf4a759 100644
--- a/.github/workflows/rust-release.yml
+++ b/.github/workflows/rust-release.yml
@@ -649,12 +649,44 @@ jobs:
       name: pypi
 
     steps:
-      - name: Download Python runtime wheels
+      # Do not publish musl runtime wheels to PyPI yet. GNU and musl builds for
+      # the same architecture currently infer the same wheel tag, which can make
+      # the published Linux runtime nondeterministic.
+      - name: Download macOS arm64 runtime wheel
         uses: actions/download-artifact@v8
         with:
-          pattern: python-runtime-*
+          name: python-runtime-aarch64-apple-darwin
+          path: dist-pypi/runtime
+
+      - name: Download macOS x64 runtime wheel
+        uses: actions/download-artifact@v8
+        with:
+          name: python-runtime-x86_64-apple-darwin
+          path: dist-pypi/runtime
+
+      - name: Download Linux GNU arm64 runtime wheel
+        uses: actions/download-artifact@v8
+        with:
+          name: python-runtime-aarch64-unknown-linux-gnu
+          path: dist-pypi/runtime
+
+      - name: Download Linux GNU x64 runtime wheel
+        uses: actions/download-artifact@v8
+        with:
+          name: python-runtime-x86_64-unknown-linux-gnu
+          path: dist-pypi/runtime
+
+      - name: Download Windows arm64 runtime wheel
+        uses: actions/download-artifact@v8
+        with:
+          name: python-runtime-aarch64-pc-windows-msvc
+          path: dist-pypi/runtime
+
+      - name: Download Windows x64 runtime wheel
+        uses: actions/download-artifact@v8
+        with:
+          name: python-runtime-x86_64-pc-windows-msvc
           path: dist-pypi/runtime
-          merge-multiple: true
 
       - name: List runtime wheels
         shell: bash