A teat unit has a teat with a suction opening, a support body, and a securing part for securing the teat unit on a drinking vessel. The securing part and the support body are fixedly connected to each other indirectly or directly, and they cannot be detached from each other without being destroyed. The support body has a surface with recesses, which are covered by the teat. The teat is overmoulded over the support body, wherein the teat covers the recesses. This teat unit permits a sucking action that is as natural as possible. It is of a simple construction and can be produced inexpensively, which means that it can be disposed of after one use.
