diff --git a/.github/workflows/ci-new.yaml b/.github/workflows/ci-new.yaml
index e63ada86f..8ad98a181 100644
--- a/.github/workflows/ci-new.yaml
+++ b/.github/workflows/ci-new.yaml
@@ -249,6 +249,7 @@ jobs:
       matrix_filter: map(select(.ARCH == "amd64" and (.CUDA_VER | split(".") | .[0] | tonumber == 12))) | group_by(.CUDA_VER|split(".")|map(tonumber)|.[0]) | map(max_by([(.PY_VER|split(".")|map(tonumber)), (.CUDA_VER|split(".")|map(tonumber))]))
 
   test-thirdparty-nvmath:
+    if: ${{ github.ref_name == 'main' }}
     needs:
       - build-linux-64
       - compute-matrix
diff --git a/ci/test_thirdparty_nvmath.sh b/ci/test_thirdparty_nvmath.sh
index 401c0af8f..5c40db40f 100755
--- a/ci/test_thirdparty_nvmath.sh
+++ b/ci/test_thirdparty_nvmath.sh
@@ -49,7 +49,7 @@ pushd tests
 # Required for nvmath-python to locate pip-install MathDx
 export SYS_PREFIX=`python -c "import sys; print(sys.prefix)"`
 export MATHDX_HOME=${SYS_PREFIX}/lib/python3.13/site-packages/nvidia/mathdx
-python -m pytest nvmath_tests/device --tb=native -x
+python -m pytest -n auto -k "not (perf or benchmark)" nvmath_tests/device --tb=native -x
 
 popd
 popd