I have an application where many \"unit\" tests use a real connection to an Oracle database during their execution.
As you can imagine, these tests take too muc
As long as your tests clean up after themselves (as you already seem to know how to set up), there's nothing wrong with running tests against a real database instance. In fact it's the approach I usually prefer, because you'll be testing something as close to production as possible.
The incompatibilities seem small, but really end up biting back not so long afterwards. In a good case, you may get away with some nasty sql translation / extensive mockery. In bad cases, parts of the system will be just impossible to test, which I think is an unacceptable risk for business-critical systems.