Abstract: An infant-feeding nipple and an infant-feeding nipple system in which the nipple may be used conventionally on a baby bottle or used in conjunction with an elongate conduit connected between the nipple and a container holding liquid to be drunk by the infant. The nipple has a radially enlarged flange on its base end, with a rigid safety ring insert which prevents the flange from being pulled from beneath the cap holding the nipple to a bottle, and which prevents the nipple from being swallowed by an infant when the nipple is detached from a container. In one form of the invention, the nipple has a flexible transverse wall across its base end, with a central opening therethrough for receiving one end of an elongate conduit whose other end may be extended into a container of liquid to be drunk by the infant. Different diameter conduits may be connected to the nipple.