A connector (2) is configured for receiving a cartridge (1) for forming a teatcup to be attached to the teat of an animal to be milked. The cartridge comprises an elongated sleeve (8) and a barrel (9), pre- mounted in the elongated sleeve and having an inner space (10) for the teat. The elongated sleeve has axial length from a lower end (8") to an upper end (8') of the sleeve. The connector comprises a lower base member (3) and a shell (4) extending from the lower base member and surrounding a receiving space (5) for receiving the cartridge. The lower base member and the shell form one piece of a plastic material. The shell is configured to extend along the axial length of the elongated sleeve at least to the upper end of the sleeve when the cartridge is received in the connector.