Wiktionary
nursing bra
n. A bra specifically designed for breastfeeding mothers with cups which fold down allowing easy access to the nipple when the infant is to be fed, usually constructed of fabric only.
Wikipedia
Nursing bra
A nursing bra is a specialized brassiere that provides additional support to women who are lactating and permits comfortable breastfeeding without the need to remove the bra. This is accomplished by specially designed bra cups that include flaps which can be opened with one hand to expose the nipple. The flap is usually held closed with a simple clasp or hook.
Usage examples of "nursing bra".
Ginger Brinker-Smith's legendary nursing bra was tossed within inches of Owen's face.