A method for making teat unit including providing a support body and a securing part, the support body including a plurality of recesses, forming a teat by overmolding the teat over the support body and over the recesses of the support body so that the teat covers the recesses, and overmolding the teat over an upper edge of the securing part, thereby forming a connection between the securing part and the support body which connects the securing part to the support body. In another method, the support body and the securing part are already one single piece and the teat is overmolded at least over the support body.
