diff --git a/.github/workflows/ompi_mpi4py.yaml b/.github/workflows/ompi_mpi4py.yaml
index b0aad4ad2d6..12deb2bbc8d 100644
--- a/.github/workflows/ompi_mpi4py.yaml
+++ b/.github/workflows/ompi_mpi4py.yaml
@@ -3,12 +3,10 @@ name: mpi4py
 on: [pull_request]
 
 jobs:
-  mpi4py:
+  build:
     runs-on: ubuntu-latest
-    timeout-minutes: 60
-
+    timeout-minutes: 30
     steps:
-
     - name: Configure hostname
       run:  echo 127.0.0.1 `hostname` | sudo tee -a /etc/hosts > /dev/null
       if:   ${{ runner.os == 'Linux' || runner.os == 'macOS' }}
@@ -28,6 +26,11 @@ jobs:
       run:  ./autogen.pl
       working-directory: mpi-build
 
+    # Install into a separate directory (/opt/openmpi) so that we can
+    # bundle up that tree into an artifact to share with other jobs in
+    # this github action.  Specifically don't use /usr/local, because
+    # there's a bunch of other stuff already installed in /usr/local,
+    # and we don't need to include that in our artifact.
     - name: Configure Open MPI
       run:  ./configure
               --disable-dependency-tracking
@@ -36,7 +39,8 @@ jobs:
               --disable-sphinx
               --disable-mpi-fortran
               --disable-oshmem
-              LDFLAGS=-Wl,-rpath,/usr/local/lib
+              --prefix=/opt/openmpi
+              LDFLAGS=-Wl,-rpath,/opt/openmpi/lib
       working-directory: mpi-build
 
     - name: Build MPI
@@ -47,6 +51,9 @@ jobs:
       run:  sudo make install
       working-directory: mpi-build
 
+    - name: Add Open MPI to PATH
+      run: echo /opt/openmpi/bin >> $GITHUB_PATH
+
     - name: Tweak MPI
       run:  |
         # Tweak MPI
@@ -65,6 +72,18 @@ jobs:
     - name: Show MPICC
       run:  mpicc -show
 
+    - name: Save the Open MPI installation for other jobs
+      uses: actions/upload-artifact@v4
+      with:
+        # I dislike hard-coding /home/runner, but I couldn't get $HOME
+        # or ${{ env.HOME }} to expand properly.
+        path: |
+          /opt/openmpi
+          /home/runner/.openmpi
+          /home/runner/.prte
+        name: ompi-build
+        retention-days: 2
+
     - name: Use Python
       uses: actions/setup-python@v5
       with:
@@ -89,6 +108,56 @@ jobs:
       env:
         CFLAGS: "-O0"
 
+    - name: Find where python's site-packages directory is located
+      run: python3 -c 'import site; print(f"pysite={site.getsitepackages()[0]}")' >> $GITHUB_ENV
+
+    - name: Save the mpi4py installation for other jobs
+      uses: actions/upload-artifact@v4
+      with:
+        # mpi4py was cloned in the same directory as OMPI (i.e., the pwd).
+        # But we only need the "test" and "demo" directories from mpi4py.
+        path: |
+          test
+          demo
+          ${{ env.pysite }}/mpi4py
+        name: mpi4py-build
+        retention-days: 2
+
+  #==============================================
+
+  run:
+    # This whole set of tests run with mpi4py's defaults.  As of March
+    # 2024, this means disabling the spawn and dynamic tests.  We want
+    # this block of tests to pass.
+    needs: [build]
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    steps:
+    - name: Get OMPI build
+      uses: actions/download-artifact@v4
+      with:
+        name: ompi-build
+        path: /
+    - name: Restore executable permissions
+      run: chmod a+x /opt/openmpi/bin/*
+    - name: Add Open MPI to PATH
+      run: echo /opt/openmpi/bin >> $GITHUB_PATH
+
+    - name: Use Python
+      uses: actions/setup-python@v5
+      with:
+        python-version: 3
+        architecture: x64
+    - name: Find where python's site-packages directory is located
+      run: python3 -c 'import site; print(f"pysite={site.getsitepackages()[0]}")' >> $GITHUB_ENV
+    - name: Get mpi4py build
+      uses: actions/download-artifact@v4
+      with:
+        name: mpi4py-build
+        path: /
+
+    #----------------------------------------------
+
     - name: Test mpi4py (singleton)
       run:  python test/main.py -v
       if:   ${{ true }}
@@ -118,3 +187,148 @@ jobs:
       run:  python demo/test-run/test_run.py -v
       if:   ${{ true }}
       timeout-minutes: 10
+
+  #==============================================
+
+  run_spawn:
+    # This whole set of tests runs explicitly with setting "enable the
+    # spawn tests".  As of March 2024, we know that Open MPI is
+    # failing these tests.
+    needs: [build]
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    steps:
+    - name: Get OMPI build
+      uses: actions/download-artifact@v4
+      with:
+        name: ompi-build
+        path: /
+    - name: Restore executable permissions
+      run: chmod a+x /opt/openmpi/bin/*
+    - name: Add Open MPI to PATH
+      run: echo /opt/openmpi/bin >> $GITHUB_PATH
+
+    - name: Use Python
+      uses: actions/setup-python@v5
+      with:
+        python-version: 3
+        architecture: x64
+    - name: Find where python's site-packages directory is located
+      run: python3 -c 'import site; print(f"pysite={site.getsitepackages()[0]}")' >> $GITHUB_ENV
+    - name: Get mpi4py build
+      uses: actions/download-artifact@v4
+      with:
+        name: mpi4py-build
+        path: /
+
+    #----------------------------------------------
+
+    - name: Test mpi4py (singleton)
+      run:  python test/main.py -v
+      if:   ${{ true }}
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      timeout-minutes: 10
+    - name: Test mpi4py (np=1)
+      run:  mpiexec -n 1 python test/main.py -v
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=2)
+      run:  mpiexec -n 2 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=3)
+      run:  mpiexec -n 3 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=4)
+      run:  mpiexec -n 4 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=5)
+      run:  mpiexec -n 5 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_SPAWN: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+
+  #==============================================
+
+  run_dynamic:
+    # This whole set of tests runs explicitly with setting "enable the
+    # dynamic tests".  As of March 2024, we know that Open MPI is
+    # failing these tests.
+    needs: [build]
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    steps:
+    - name: Get OMPI build
+      uses: actions/download-artifact@v4
+      with:
+        name: ompi-build
+        path: /
+    - name: Restore executable permissions
+      run: chmod a+x /opt/openmpi/bin/*
+    - name: Add Open MPI to PATH
+      run: echo /opt/openmpi/bin >> $GITHUB_PATH
+
+    - name: Use Python
+      uses: actions/setup-python@v5
+      with:
+        python-version: 3
+        architecture: x64
+    - name: Find where python's site-packages directory is located
+      run: python3 -c 'import site; print(f"pysite={site.getsitepackages()[0]}")' >> $GITHUB_ENV
+    - name: Get mpi4py build
+      uses: actions/download-artifact@v4
+      with:
+        name: mpi4py-build
+        path: /
+
+    #----------------------------------------------
+
+    - name: Test mpi4py (singleton)
+      run:  python test/main.py -v
+      if:   ${{ true }}
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      timeout-minutes: 10
+    - name: Test mpi4py (np=1)
+      run:  mpiexec -n 1 python test/main.py -v
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=2)
+      run:  mpiexec -n 2 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=3)
+      run:  mpiexec -n 3 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=4)
+      run:  mpiexec -n 4 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+    - name: Test mpi4py (np=5)
+      run:  mpiexec -n 5 python test/main.py -v -f
+      env:
+        MPI4PY_TEST_DYNPROC: "1"
+      if:   ${{ true }}
+      timeout-minutes: 10
+