A cartridge configured to be composed of a liner that will be attached to a nipple of an animal to be milked, the cartridge (1) comprising a sleeve (6) having an upper end (6a) and a lower end (6b) , an interior of the nipple (7) mounted on the sleeve (6) and having an interior space (8) to receive said nipple, a pulsation chamber (9) provided between an internal side of the sleeve (6) and a side external of the inside of the liner (7), in which the inside of the liner (7) comprises an upper end portion (7a) located at the upper end (6a) of the sleeve (6), a barrel portion (7c ) and a lower end portion (7b) extending beyond the lower end (6b) of the sleeve (6), in which the lower end portion (7b) forms an end nozzle (10) beyond the lower end (6b) of the sleeve (6), in which the final nozzle (10) has a tapered outer shape configured to be received in a milk duct (4) for transporting the milk from the cartridge (1) to the milk duct (4), in which the barrel portion (7c) is the main part of the inside of the teat cup (7) and is in contact with the animal's nipple during milking, in which the barrel portion (7c) is manufactured a first material having a relatively high elasticity, and the lower end portion (7b) is manufactured from a second material having a relatively low elasticity compared to the relatively high elasticity of the first material of the barrel portion, and wherein the lower end portion (7b) comprises a lower engagement member (14) that engages the sleeve (6) such that the barrel portion (7c) of the inside of the teat cup (7) is maintained in a stretched state in the sleeve (6), in which the sleeve further comprises a sealing ring (17) that extends around of an outer surface of the sleeve (6), yu n hole (18) through the sleeve (6), hole (6) that is configured to allow a pulsating vacuum to be applied to the pulsation chamber (9) and that is provided between the sealing ring (17) and the lower end (6b) of the sleeve (6), in which the sealing ring (17) is
