I have a small bathroom where the wall switch on the outside of the bathroom controls the wall light above the vanity, AND the power to the only outlet in the bathroom, a GFCI. I'd like to have the GFCI be hot all the time, but the switch still able to control the wall light, as it does today. Here's my question... can I make this change only in the GFCI box (I plan on installing a new GFCI, as mine is outdated), or is there work that has to be done in the box that houses the wall light as well?

Any help would be greatly appreciated... thanks!