BF/pumping for a stash?

Question

I’m trying to build a stash but having some issues on keeping any! 
Background: 3wk LO had been comfort feeding for roughly 3 hrs. Pediatrician instructed to feed for 20-30 mins and then feed pumped milk in a bottle, if he’s just sleeping or filly-farting around.
What I’ve been doing is pumping one breast while LO feeds on the other one. Afterwards he is always hungry for more, consistently showing hunger cues. So I end up giving him what I just pumped and what he usually needs is 2-3oz additionally. So I have nothing saved up.
Usually in the mornings I can get one bag around 4oz. After that, about 2 oz each time.
Any suggestions?
*edit to add: my pediatrician is also a LC. 
**Originally, I had super engorged breasts that I had to use a nipple shield for LO to latch to. He did great then. As the engorgement has gone down, we’ve gotten him off of the nipple shield. 
But now, his latch needs adjustment to just a straight nipple. He tucks his lower lip in. LC has me pulling chin down often to teach him. 
***we do demand feeding, not on a schedule at all.

Answer

I wouldn’t feed on just one side if baby is consistently showing hunger cues. Feed on both sides instead and see if baby is satisfied then. 
I echo the others about talking to an LC about BFing over your pediatrician. They can help see how much baby is transferring and help with any latching issues.

Answer

Oh please stop! It’s way too early to pump. Just feed on demand, LO will go through cluster feeding periods where they never seem satisfied it’s COMPLETELY NORMAL and a good thing, it increases your supply. 
Don’t pump at all before 8-12 weeks unless there’s a serious need and please remember most paediatricians know bigger all about BF

Answer

I would BF and baby would fall asleep (but they were a late preemie) so would pump immediately after on both breasts to build supply and be able to feed even semi asleep. The boob was more work than the bottle for the early tot. So had to train him into wakeful feeding and transition to fully breast. Now that the tot is only BF I still pump but not immediately after a feeding. I wait an hour after a feeding to pump for supply and to donate to the local birth center. Waiting the hour usually allows for enough milk build up and doesnt interfere with baby's needs at the next BF session. Baby feeds every 3 hours on demand.

Answer

What I’ve been doing is pumping either in the morning or the evening, I feed babygirl from both breast, let her sleep for about an hour and then pump either in the morning or night. I’ll get about 100ml out of each breast that I put in the freezer so the next time she eats I feed her from each breast, haven’t had to get into my stash at all and she’s 2 weeks

Answer

I've been feeding on demand. So what if babe is comfort feeding its still helping supply. And using haaka on alternate side and have about 30oz in the freezer in 1 month. Why did the dr tell you to feed a pumped bottle? Does baby have poor latch their concerned babes not getting enough while nursing?

BF/pumping for a stash?

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