We got it straight from the horse's mouth here at Samsung and Google's Galaxy Nexus launch event that the future LTE edition of the Galaxy Nexus will indeed be thicker than the HSPA+ model showcased today (and above). How much thicker. "A little," according to a company representative, but he wouldn't go so far as to talk millimeters. When asked if the additional size was there to hold the LTE package or just a larger battery, he also failed to elaborate.
Engadget, Samsung: the LTE version of the Galaxy Nexus will be 'a little' thicker