Breastfed baby

My boy is a month old today and I feel like he is constantly at the nipple for comfort to fall asleep and soothe him. I keep trying to introduce a paci but he does not want anything to do with it.. he’s 11lb4oz I’m worried he’s just going to get huge because he’s constantly getting milk. But other than that any recommendations on how to get him to not go for the nipple every hour or less ?