I do not like to encourage  a large oversupply of milk for NICU infants.
I think careful watching of NICU moms milk supply is desirable, for several
reasons. One, is that it is unnecessary for her to waste that energy if she
has an oversupply. It is a stress to have a baby in the NICU.
 Two, is that oversupply may predispose her to  mastitis, which loves to visit
moms with exhaustion and stress.
Three is that putting a baby to the breast of a mother with oversupply
overwhelms the baby with foremilk, and interferes with the whole meal at the
breast process. They don't get a whole meal when they are real tiny, but it is
a goal by 4 pounds or so, and a four pounder doesn't need 12 ounces!
A fourth and final reason is that when baby gets frozen milk, it is good to
get a full complement of milk, without a lot of lactoengineering.
It is better to keep the supply at a little on the high side, and it is
important to prevent undersupply with early initiation and troubleshooting.
With careful pre-at-the-breast management, and attention to details as baby
learns to go to the breast, these babies go home breastfeeding for months and
months.
It's a lot of effort but well worth it, so the families report, and their
health record supports the economic benefits.
Fritzi Drosten, RN IBCLC
Piedmont, CA