A teatcup to be attached to a teat of an animal to be milked comprises a connector (2) and a cartridge (1) to be received in the connector (2). The cartridge comprises a sleeve (6) having an upper end (6a) and a lower end (6b), a teatcup liner (7) mounted in the sleeve and having an inner space (8) for receiving said teat, and a pulsation chamber (9) provided between the sleeve and the teatcup liner. The teatcup liner comprises an upper end portion (7a) located at the upper end of the sleeve, a barrel portion (7c) and a lower end portion (7b) extending beyond the lower end of the sleeve, The lower end portion forms an end nozzle (10) extending beyond the lower end of the sleeve and having a circumferential external surface (10a). An annular seal element (11) is provided at the circumferential external surface to seal between the lower end nozzle and the connector. The connector comprises a connection space (27) for receiving the cartridge, and a bottom wall (25) which delimits the connection space and through which an outlet nipple (29) defining an outlet channel (30) extends, and wherein the annular seal element is provided at the bottom wall to seal between the bottom wall and the end nozzle. Such an arrangement can provide a convenient, tight, efficient and hygienic connection of a teatcup liner and a milk conduit.
