Many people consider module-level tests to be unit tests.

Integration tests would mix multiple modules.

Depending upon the specifics of your application, unit tests at a lower level than the module level may be suitable. E.g. complicated algorithms a module might internally rely upon.

Our language around testing is missing a slot. We have unit, integration, and end-to-end. Should be unit, module, multi-module, and end-to-end. Depending upon the specifics of the application, you might have more unit or module level tests.