Estimated recovery time for rotator cuff strain?

I recently strained my rotator cuff slightly. I whipped my arm to fast and it has hurt ever since. It really doesn't affect my day all that much, but I still feel it when I put on shirts or anytime I put my arm over my head. More importantly though, I can't work out with it. I want to let it heal so I have been doing light weight rotator cuff exercises and stretching it everyday. How long do you think it will be till it's back to 100%, or atleast enough to where I can return to the gym?