Is the path statically or dynamically generated?
If it is dynamic, then you can maybe test for a specific path because there is importance in testing the calculation of the path. I like to reference the same string constants the app uses when possible - that's one way to help.
But if it's static, well - what are you really getting by testing? I think then you care more about the "qualities" of the path, not the value - is it assigned, does the path exist, etc.
About the only exception I've seen to this is if a path is really, really important and that changing it in one place will unexpectedly break something else (bad!) - then it's a warning to others.