Tips for growth spurts?

My son has been a big eater since birth. Ate about 3-4oz. Now that he's 5weeks and going thru a growth spurt, he's constantly hungry. Will eat 4-6oz. I try to breastfeed as much as I can but it seems like he'll have both breasts and still be hungry. He also over eats even though we try our best to slow him down. He will spit up or throw up and get hiccups after almost every feeding. He's also aggressive which I know is normal. Already been told by a consultant to just wait it out and keep doing what we are doing but I just wanted to see if anyone had any helpful tips. I don't want to keep over feeding him and I don't want him to be hungry.