FTM - Newborn Eating habits

I’m wondering if any other moms have this issue or can give some advice.

My son was born 2 Weeks premature, he’s doing amazing and is eating 2oz roughly every feeding. My problem is that after he’s done eating a 2oz bottle he still seems hungry. He gets a bit fussy and roots around looking for more food. I’ll make a 1oz bottle but if drinks anymore than 1/4 or it he just seems to puke it up. Should I just stick to feeding him 2oz or try to keep giving him more? Is he eating enough?