I think so....sometimes when you go to a thicker gauge string, you have to have the nut filed. I would leave that up to a qualified luthier because as JimiD would say..."filing down a nut is an art that should not be practiced by the everyday man.." Now I have gone from 9's to 10's before without the nut being filed, but I would make sure by asking you local guitar tech.
I had one of my JP's fitted with 11's and the nut had to have some work done to it. So, that is my experience with it.
You should be okay going up a gauge without playing with the nut. You might even get away without having to adjust the trussrod. The saddles will definately need adjusted and, if your guitar has a trem, you'll probably need to adjust the trem claw.