That is a tough call... and not one that I or anyone else here is qualified to fully answer. I wouldn't suggest reporting him right off the bat... doing so is going to call into question whether you have anything to do with a possible rift between you. Rather, I would suggest first going to the supervisor and requesting their insight and opinion on how to address and improve the performance of several select things about the situation that seems 'a little uneven at the moment.'
For starters buttering up the supervisor never hurts. And attempting to seek instruction on how to improve a situation rather than approaching it as a burden that that needs to be relieved is going to go over much better.