Overfeeding

My son turned 2 months old on the 15th and he still wants to nurse pretty frequently. It seems he also wants to nurse for comfort/to go down for a nap as well and I’m afraid he’s over eating. He will SCREAM until I latch him and then he finally calms down and tries to go to sleep. I’m not worried that it’s a supply issue because he’s gone from 6lbs 2oz at birth at 37 weeks to 13lbs at his 2 month appointment. I also try and offer his binky and he’s just not having it a lot of the time.