Haakaa draining supply?

My LO is 3 weeks old now and I’ve started using the haakaa so my husband can feed a bottle in the evening so I can sleep more. I’m starting to find that the little one is still hungry after a feed, so I end up using what’s in my haakaa in a bottle right away (I usually get about 3 ounces). Is it possible that the haakaa is draining me too much? Has anyone else had this issue?