Abstract: A milking cup having a sleeve-like cup and a rubber teat holder inserted therein. The rubber teat holder has a suction sleeve portion which is connected at the lower end to a milk discharge pipe connected to a vacuum source. An underpressure relief valve is provided on the milking cup. A tube is connected to and extends between the underpressure relief valve and either the suction sleeve or a member which is connected to and is positioned between the lower end of the suction sleeve and the milk discharge pipe. The end of the tube projects into a passageway defined by the suction sleeve or the member and terminates approximately at the midpoint of the passageway.