diff --git a/.github/workflows/vol_adios2.yml b/.github/workflows/vol_adios2.yml
index 1de5b039851..a817614fca2 100644
--- a/.github/workflows/vol_adios2.yml
+++ b/.github/workflows/vol_adios2.yml
@@ -121,5 +121,10 @@ jobs:
       # Skip parallel testing for now as it appears to hang
       - name: Test HDF5 ADIOS2 VOL connector with HDF5 API tests
         working-directory: ${{ github.workspace }}/hdf5/build
+        # Don't test the ADIOS2 VOL connector with the HDF5 API tests yet,
+        # as it doesn't currently pass all the tests. Leave the step in,
+        # but skip it to leave an indication that this should be re-enabled
+        # in the future.
+        if: false
         run: |
           ctest --build-config ${{ inputs.build_mode }} -VV -R "h5_api" -E "parallel" .
diff --git a/.github/workflows/vol_async.yml b/.github/workflows/vol_async.yml
index 87ca7815d65..a0479d47288 100644
--- a/.github/workflows/vol_async.yml
+++ b/.github/workflows/vol_async.yml
@@ -96,5 +96,10 @@ jobs:
 
       - name: Test HDF5 asynchronous I/O VOL connector with HDF5 API tests
         working-directory: ${{ github.workspace }}/hdf5/build
+        # Don't test the Async VOL connector with the HDF5 API tests yet,
+        # as it doesn't currently pass all the tests. Leave the step in,
+        # but skip it to leave an indication that this should be re-enabled
+        # in the future.
+        if: false
         run: |
           ctest --build-config ${{ inputs.build_mode }} -VV -R "HDF5_VOL_vol-async" .
diff --git a/.github/workflows/vol_cache.yml b/.github/workflows/vol_cache.yml
index cad2dfde56d..50572e42917 100644
--- a/.github/workflows/vol_cache.yml
+++ b/.github/workflows/vol_cache.yml
@@ -165,5 +165,11 @@ jobs:
 
       - name: Test HDF5 cache VOL connector with HDF5 API tests
         working-directory: ${{ github.workspace }}/hdf5/build
+        # Don't test the Cache VOL connector with the HDF5 API tests yet
+        # when it's stacked on top of the Async connector, as it doesn't
+        # currently pass all the tests due to the Async connector not passing
+        # all the tests. Leave the step in, but skip it to leave an indication
+        # that this should be re-enabled in the future.
+        if: ${{ ! matrix.async }}
         run: |
           ctest --build-config ${{ inputs.build_mode }} -VV -R "HDF5_VOL_vol-cache" .
diff --git a/.github/workflows/vol_log.yml b/.github/workflows/vol_log.yml
index 2983100e888..787f143fff9 100644
--- a/.github/workflows/vol_log.yml
+++ b/.github/workflows/vol_log.yml
@@ -91,5 +91,10 @@ jobs:
       # Skip parallel testing for now as it appears to hang
       - name: Test HDF5 Log-based VOL connector with HDF5 API tests
         working-directory: ${{ github.workspace }}/hdf5/build
+        # Don't test the Log-based VOL connector with the HDF5 API tests yet,
+        # as it doesn't currently pass all the tests. Leave the step in,
+        # but skip it to leave an indication that this should be re-enabled
+        # in the future.
+        if: false
         run: |
           ctest --build-config ${{ inputs.build_mode }} -VV -R "h5_api" -E "parallel" .
diff --git a/.github/workflows/vol_rest.yml b/.github/workflows/vol_rest.yml
index 975b449f821..1056147b57a 100644
--- a/.github/workflows/vol_rest.yml
+++ b/.github/workflows/vol_rest.yml
@@ -181,6 +181,11 @@ jobs:
 
       - name: Test HDF5 REST VOL connector with HDF5 API tests
         working-directory: ${{github.workspace}}/hdf5/build/
+        # Don't test the REST VOL connector with the HDF5 API tests yet,
+        # as it doesn't currently pass all the tests. Leave the step in,
+        # but skip it to leave an indication that this should be re-enabled
+        # in the future.
+        if: false
         run: |
           sudo \
           HDF5_PLUGIN_PATH="${{ runner.workspace }}/hdf5_build/lib" \