Totally agree and freeze the excess milk. Don't attempt to dictate your supply by pumping and especially as she is so young and a prem.
I had to exclusively pump for 5 weeks when DD2 was 2 weeks old and was pumping around 80ml total initially too. It increased but not significantly and I was pumping 3 hourly around the clock at first then I cut back to 4 hourly overnight. We reintroduced the breast gradually from 7 weeks and then DD worked out my supply for me. The excess was a bonus as I've had a constant supply of EBM in my freezer since
I had to pump with DD1 too and my supply also just worked itself out once DD was back on the breast full time.







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