The present invention relates to a milking cup comprising a cup sleeve, a teat rubber inserted in the cup sleeve with a head piece and an intake socket connectable with a milk discharge conduit, and comprising an air inlet valve provided on the milking cup and connected with the interior space of the intake socket via a first conduit, which lets atmospheric air penetrate into the intake socket in response to a relief phase, during which a higher pressure causing a folding-in of the intake socket relative to the milking vacuum pending in the milk discharge conduit is generated in a clearance between the cup sleeve and the intake socket. The invention is characterized in that an opening toward the interior space of the teat rubber is provided in the head piece of the teat rubber, wherein the opening can controllably be supplied with atmospheric air in response to the relief phase.
