Abstract: A multi-use infant-feeding nipple system that enables an infant to drink liquid from various types of containers, including conventional baby bottles, cans, glasses, and the like. The nipple system includes a flexible, elastomeric nipple having a base end and a tip end. The base end includes a reduced diameter opening for sliding, sealed receipt of one end of a tubular conduit which may be extended at its other end into a container that need not be held in an elevated position in or in close proximity to the infant's mouth. The tip end has a normally closed slitted opening through which liquid is enabled to flow when the infant sucks on the nipple, and which closes when the infant ceases sucking, thereby functioning as a check valve and preventing ingress of air into the nipple and preventing the liquid from draining out of the nipple and any conduit attached to it. This, in turn, avoids ingestion of air when the infant resumes feeding.