When attempting to call the PaaS class in a test method I am receiving an error:

Methods defined as TestMethod do not support Web Service callouts, test skipped.

I looked at the examples provided, but all but two of those test methods generate the same error. It looks like the standard way to work around this is to create a Mock class, but I don't think this will work since the method I'm calling isn't the one that invokes the web service directly. Any suggestions on a workaround would be appreciated.