diff --git a/ci/test_python.sh b/ci/test_python.sh
index 3239beaf1..386d0b063 100755
--- a/ci/test_python.sh
+++ b/ci/test_python.sh
@@ -12,7 +12,7 @@ rapids-logger "Create test conda environment"
 rapids-dependency-file-generator \
   --output conda \
   --file-key test_python \
-  --matrix "cuda=${RAPIDS_CUDA_VERSION%.*};arch=$(arch);py=${RAPIDS_PY_VERSION}" | tee env.yaml
+  --matrix "cuda=${RAPIDS_CUDA_VERSION%.*};arch=$(arch);py=${RAPIDS_PY_VERSION};dependencies=${RAPIDS_DEPENDENCIES}" | tee env.yaml
 
 rapids-mamba-retry env create --yes -f env.yaml -n test
 set +u
diff --git a/ci/test_wheel.sh b/ci/test_wheel.sh
index 8ba03f3a2..d06c4eed0 100755
--- a/ci/test_wheel.sh
+++ b/ci/test_wheel.sh
@@ -7,7 +7,20 @@ 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=${RAPIDS_DEPENDENCIES}" \
+      | tee ./constraints.txt
+fi
+
 # echo to expand wildcard before adding '[extra]' requires for pip
-python -m pip install -v "$(echo "${WHEELHOUSE}"/rmm_${RAPIDS_PY_CUDA_SUFFIX}*.whl)[test]"
+python -m pip install \
+    -v \
+    --constraint ./constraints.txt \
+    "$(echo "${WHEELHOUSE}"/rmm_${RAPIDS_PY_CUDA_SUFFIX}*.whl)[test]"
 
 python -m pytest ./python/rmm/rmm/tests
diff --git a/dependencies.yaml b/dependencies.yaml
index ef2de69ed..0196a6ee0 100644
--- a/dependencies.yaml
+++ b/dependencies.yaml
@@ -308,3 +308,13 @@ dependencies:
               - cuda-nvcc
           - matrix:
             packages:
+      - output_types: [conda, requirements]
+        # Define additional constraints for testing with oldest dependencies.
+        matrices:
+          - matrix:
+              dependencies: "oldest"
+            packages:
+              - numba==0.57.*
+              - numpy==1.23.*
+          - matrix:
+            packages: