An automatic milking plant includes a teat cup connected via a flexible connection hose to a collecting piece for collecting extracted milk and for transmitting a vacuum required for milking. The collecting piece is provided with a connecting piece for the flexible connection hose. The connecting piece and/or the flexible connection hose are implemented such that the flexible connection hose is stiffened in the connection zone of the connecting piece and that the stiffened region of the flexible connection hose extends beyond a milk-carrying area of the connecting piece in the axial direction. An end of a hose sleeve which faces away from the connecting piece is designed asymmetrically in the longitudinal direction, and the hose sleeve encloses the flexible connection hose at least partially in the area of the connecting piece.