An anastomosis prosthesis comprising a tubular member with a leading end comprising a leading edge, and a trailing end comprising a trailing edge, wherein the leading end of the tubular member is reversibly, radially compressible, and the leading edge of the tubular member is provided with one or more radially outwardly directed flexible, substantially linear anchoring members. The anchoring members are initially arranged at an angle in relation to a longitudinal axis of the tubular member such that the anchoring members point in the direction of the trailing end of the tubular member.