Anyone else's Newborn do this ?

Bree

So my baby (5wks old) has lots of things he does to let me know he's done nursing. But one of them happens to be he will close his gums down on my nipple, and fall asleep. He's just a baby, so it's okay....But I worry that he will bite me when he has teeth 😔. Anyone else's baby do this, or something similar ?