A mechanism for cleaning a flow control element (e.g., a baby bottle nipple or a child sippy cup flow control valve) that includes a tube-like wall section defining a flow channel, and a substantially flat membrane supported across the flow channel, where the membrane includes multiple pinholes that remain closed to prevent fluid flow under normal atmospheric conditions, and open and to facilitate fluid flow rate through the membrane under an applied pressure differential (e.g., when sucked on by a child). The mechanism includes a tubular flow member including a fixture that is pressed into and secured inside the flow channel by frictional contact, and a pump for pulling and/or pushing a cleaning solution (e.g., soapy water) in the flow channel by way of the tubular flow member, whereby the cleaning solution forces the membrane to repeatedly stretch such that the cleaning solution repeatedly passes through the membrane.