How long does BBL-darkened spots take to peel off?

I have had one BBL treatment on my face 3 days ago. The treatment turned all of my sun spots really dark (very embarrassing). Only the larger spots have peeled off and there is no sign of the smaller spots doing the same. My dermatologist indicated that I would need ~3-4 treatments. But my question at this point is will the sun spots that darkened from this first treatment remain dark until my next treatment?