Peeling skin on scalp

sunflwra

Hi ladies-

LO has had her skin peel from the toes up since birth (it literally started on her feet and had made it's way up her body). The ped said it's just typical sloughing of newborn skin, so I'm not worried about it.  However, it's made it's way to her scalp now. The rest of her body would constantly be exfoliated due to clothing etc, but the scalp isn't doing the same since it doesn't get the same "wear".

After a bath, it's just looks like a thin mushy layer under her hair that I could literally lightly scrape a fingernail across and remove.  Would you just leave it be or maybe put a hat on her for a day or so to help with the exfoliation? Thoughts?