That, it most definitely would - where the edge of the tread of my tires clears the bumper yours probably does no because your tires are sticking out further out... At least that's the only thing I can come up with.
And Juan, it sounds like you got space to go up to 35" tires (those would be the 315s), however as 91f2504x4 suggested do check about potentially rubbing on the leaf springs - I know that was an issue for me with my old truck (lifted '78 F150, nothing comparable to yours) where my 35x14.50 Bajas would catch on the radius arms big time when making tight turns in parking lots.