Maven - skip unit tests but run integration tests

When I run mvn clean verify I want to run integration tests as part of the integration-test phase AND skip the unit tests in the test phase.

I know that running clean verify will also run the tests in the test phase since the phase comes before it.

Then when I run mvn test I want to be able to run those unit tests through the surefire plugin.

I tried entering in the command line -DskipTests but this skips ALL tests.

Then I found out entering -DskipITs skips the integration tests.

How can I skip the unit tests?

Thanks

EDIT: Also please do not ask why I am skipping unit tests before running integration tests. I know what I'm doing.