Prosthesis tube adapter, comprising a tube and an adapter head, connected thereto, with a connecting sleeve which is fitted on the tube and in a connecting region is connected to this via an adhesive joint, wherein the connecting sleeve (8) and the tube (9) have complementarity inter-engaging, axially and radially abutting connection geometries in the connecting region in such a way that the prosthesis tube adapter (4) has a constant outside diameter right up to the region of the adapter head (7).