It may sound like an old wives’ tale, but dermatologists say this one is true — sleeping on your side can actually lead to wrinkles and permanently creased skin.”Side sleepers often see deeper wrinkles or creases on the side of their face that they naturally turn to each night, as well as vertical creases down their cheeks and chin,” dermatologist Joel Schlessinger told Self.Sleeping on your back or alternating which side you sleep on are good ways to limit this kind of sneaky skin damage.