Virginia Reef,
Is anything in the new tank already? If not, there should be no cycle unless something dies off that overloads the filtration capacity that is already in your LS/LR. If the new tank contains any uncured LR, the tank will likely cycle, depending on how much LR we're talking about. Is the new tank of a different size? In any event, I would not add any additional livestock until the addtional substrate material [if a larger tank] matures as critters multiply to fill it.
-regards,
rw