When will swelling and puffy eyes from Fraxel go away?

I recently had two Fraxel treatments for mild skin issues: uneven skin tone, sun damage.

My last treatment was five weeks ago, and while my skin tone is great, my eyes are still notably puffy. This results in dark circles under my eyes and the appearance that I didn't get a good night of sleep. Two weeks ago I saw my dermatologist, who told me that the residual swelling was not abnormal, and that I should continue to treat the areas with ice packs for ten minutes per day.

I have followed the recommendation but the swelling does not seem to be subsiding. Is this a normal side effect of the fraxel treatment? Will the swelling eventually go away or did I trade slightly uneven skin for permanently puffy eyes