HELP! can't empty breast

Kristie
I feel like I have a strange problem. I usually read about woman not producing enough milk, but I have too much. My little guy is 5 days old and when I pump I get at least 8 oz. I know, I know. I'm not complaining. But he obviously can't empty all of that. So is my only option to pump after every feeding? Anybody else have a problem like this?