Thats normal. Vaseline was what my baby’s Dr. recommend to her

It's actually a good thing when their skin peals. It's getting all the dead skin off of them from being in fluid for 9 months. The hospital I delivered at actually says not to put any lotion on them for the first month because you want all that skin to come off.

His only a week old. Although lotion and Vaseline does help it’s only to help with dryness. Some babies just have more dead skin to peel than others.

Yeah I remember that happening too when he was younger.