diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index d64424b..5b56156 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -7,14 +7,6 @@ on:
         branches: [main]
     workflow_dispatch: {}
 jobs:
-    build-37:
-        runs-on: ubuntu-latest
-        steps:
-            - uses: actions/checkout@v2
-            - name: Run unit tests
-              run: docker build . --target=test --build-arg PYTHON_VERSION=${PYTHON_VERSION}
-              env:
-                  PYTHON_VERSION: "3.7"
     build-38:
         runs-on: ubuntu-latest
         steps:
@@ -47,6 +39,14 @@ jobs:
               run: docker build . --target=test --build-arg PYTHON_VERSION=${PYTHON_VERSION}
               env:
                   PYTHON_VERSION: "3.11"
+    build-312:
+        runs-on: ubuntu-latest
+        steps:
+            - uses: actions/checkout@v2
+            - name: Run unit tests
+              run: docker build . --target=test --build-arg PYTHON_VERSION=${PYTHON_VERSION}
+              env:
+                  PYTHON_VERSION: "3.12"
 
     # Builds to validate alternate versions of protobuf
     build-38-pb319:
diff --git a/Dockerfile b/Dockerfile
index 957176c..0ab95c7 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -11,6 +11,7 @@ ARG PROTOBUF_VERSION=""
 WORKDIR /src
 
 # Install build, test, and publish dependencies
+# Test requirements are installed first in case they have to be overwritten
 COPY requirements.txt requirements_test.txt /src/
 RUN true && \
     apt-get update -y && \
@@ -19,8 +20,8 @@ RUN true && \
     apt-get autoremove --yes && \
     pip install pip --upgrade && \
     pip install twine pre-commit && \
-    pip install -r /src/requirements.txt && \
     pip install -r /src/requirements_test.txt && \
+    pip install -r /src/requirements.txt && \
     if [ "$PROTOBUF_VERSION" != "" ]; then \
         pip uninstall -y protobuf grpcio-tools && \
         pip install "protobuf${PROTOBUF_VERSION}" grpcio-tools; \
diff --git a/requirements.txt b/requirements.txt
index fca3667..54fe413 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,5 +1,6 @@
+alchemy-logging>=1.0.3
+grpcio>=1.46.3,<1.68.0
 # NOTE: protobuf 3.19 is the highest version allowed by tensorflow (currently),
 #   so we explicitly pin the lower bound to allow compatibility with tf
 protobuf>=3.19.0,<5
-alchemy-logging>=1.0.3
 typing-extensions>=4.5.0,<5; python_version < '3.9'
diff --git a/requirements_test.txt b/requirements_test.txt
index 22b4356..d8b7d30 100644
--- a/requirements_test.txt
+++ b/requirements_test.txt
@@ -5,4 +5,4 @@ pytest-xdist>=2.5.0
 tls_test_tools>=0.1.1
 
 # Round-trip proto compilation
-grpcio-tools>=1.46.3
+grpcio-tools>=1.46.3,<1.68.0
diff --git a/scripts/run_tests.sh b/scripts/run_tests.sh
index 297d6d0..49c71d8 100755
--- a/scripts/run_tests.sh
+++ b/scripts/run_tests.sh
@@ -20,6 +20,7 @@ else
     procs_arg=""
 fi
 
+# Ignore `google.protobuf.service module is deprecated` UserWarning for now
 FAIL_THRESH=100.0
 python3 -m pytest \
     $procs_arg \
@@ -28,4 +29,5 @@ python3 -m pytest \
     --cov-report=term \
     --cov-report=html \
     --cov-fail-under=$FAIL_THRESH \
-    -W error "$@"
+    -W error -W ignore::PendingDeprecationWarning \
+    -W ignore::UserWarning "$@"