Has to be the same dress in F.O.X. as well. The only good news is, that you don't have to level the material dress all the way to 45 to do it. Just S.S. lvl 1 is enough.
Limit breaking Fox equipment is a terrible grind. A lvl 45 Fox item is still a bit better than a lvl 55 regular version of the same item though. And don't get your hopes up for SR equipment yet, gathering enough crystals is going to take as long as it takes to gather the material equipment for limit breaking. (if not longer..)