diff --git a/.github/workflows/ci-clang-tidy.yml b/.github/workflows/ci-clang-tidy.yml
index 658d3090..a9147356 100644
--- a/.github/workflows/ci-clang-tidy.yml
+++ b/.github/workflows/ci-clang-tidy.yml
@@ -124,12 +124,13 @@ jobs:
           sed -i.backup '/^\[settings\]$/,/^\[/ s/^build_type=.*/build_type=${{ matrix.build_type }}/' ~/.conan2/profiles/default
           conan profile show -pr default
       - run: echo "std_format=$([ "${{ matrix.formatting }}" == "std::format" ] && echo "True" || echo "False")" >> $GITHUB_ENV
+      - run: echo "import_std=$([ "${{ matrix.config.cxx_modules }}" == "True" ] && [ "${{ matrix.config.contracts }}" == "none" ] && [ "${{ matrix.formatting }}" == "std::format" ] && echo "True" || echo "False")" >> $GITHUB_ENV
       - name: Run clang-tidy
         shell: bash
         run: |
           conan build . -b missing -c tools.cmake.cmaketoolchain:generator="Ninja Multi-Config" \
                         -c user.mp-units.build:all=True -c user.mp-units.analyze:clang-tidy=True -c tools.build:skip_test=True \
-                        '-o &:cxx_modules=${{ matrix.config.cxx_modules }}' -o '&:std_format=${{ env.std_format }}' -o '&:contracts=${{ matrix.contracts }}' ${{ matrix.config.conan-config }}
+                        '-o &:cxx_modules=${{ matrix.config.cxx_modules }}' -o '&:import_std=${{ env.import_std }}' -o '&:std_format=${{ env.std_format }}' -o '&:contracts=${{ matrix.contracts }}' ${{ matrix.config.conan-config }}
       - name: Clean Conan cache before backup
         shell: bash
         run: |