The AAS you are on isn't going to increase your muscle soreness.
BUT, you are going to be stronger and possibly train longer/harder which will increase muscle breakdown like thunder said, thus causing more soreness.
In other words, I wouldn't worry about it. Make sure you are eating enough and of the right stuff to make sure your recovery is adequate and you'll be fine.
On a side note though, you should be be able to train a muscle again after 48-72 hrs. If you are so sore you are unable to train then you are way over doing it volume wise. Also keep in mind that soreness is not an indicator of whether a muscle is ready to be trained again. I find that if I go to the gym with say sore pecs, and I train chest, by the time I'm done with my warmups my pecs are not sore anymore. If you get in there though and have pain even after warming up you need to back down a little.