diff --git a/ci/test_wheel.sh b/ci/test_wheel.sh
index d06c4eed0..2f39b197b 100755
--- a/ci/test_wheel.sh
+++ b/ci/test_wheel.sh
@@ -7,15 +7,8 @@ RAPIDS_PY_CUDA_SUFFIX="$(rapids-wheel-ctk-name-gen ${RAPIDS_CUDA_VERSION})"
 WHEELHOUSE="${PWD}/dist/"
 RAPIDS_PY_WHEEL_NAME="rmm_${RAPIDS_PY_CUDA_SUFFIX}" rapids-download-wheels-from-s3 python "${WHEELHOUSE}"
 
-# Constraint to minimum dependency versions if job is set up as "oldest"
-echo "" > ./constraints.txt
-if [[ $RAPIDS_DEPENDENCIES == "oldest" ]]; then
-  rapids-dependency-file-generator \
-        --output requirements \
-        --file-key test_python \
-        --matrix "cuda=${RAPIDS_CUDA_VERSION%.*};arch=$(arch);py=${RAPIDS_PY_VERSION};dependencies=${RAPIDS_DEPENDENCIES}" \
-      | tee ./constraints.txt
-fi
+# generate constraints (possibly pinning to oldest support versions of dependencies)
+rapids-generate-pip-constraints test_python ./constraints.txt
 
 # echo to expand wildcard before adding '[extra]' requires for pip
 python -m pip install \