Other common questions new moms ask lactation consultants are about pumping breastmilk and when, why and how much breastmilk to pump. Some choose to pump in order to manage an oversupply of milk or to help increase a low milk supply,” she added. “Not everyone needs to pump or store breast milk. Many health insurance companies cover breast pumpsAccording to Rowbury, most insurance companies will provide you with an electric breast pump after delivery. “Once milk supply is established a personal electric pump often works great at maintaining milk supply.