A tubular vascular transplant (1, 1&prime, 1&Prime, 1&prime&Prime) serves for connecting vessels in the human body. The transplant, in particular made of expanded polytetrafluoroethylene (ePTFE), can preferably be used for an arteriovenous shunt for carrying out a dialysis. The transplant is connected by its first, proximal end to a vessel, for example an artery (2), and by its distal end to another location of the same vessel or to a different vessel, for example a vein (3). The lumen of the transplant (1, 1&prime, 1&Prime, and 1&prime&Prime) widens in a steadily conical manner in the region of its distal end and forms a diffuser (8) there. The cone angle (a) of the wall of the diffuser (8) with respect to the central flow direction of the blood in the transplant (1&prime, 1&Prime, 1&prime&Prime) is preferably 6° to 7°. In the region of the diffuser (8), preferably at least one, preferably planar, dividing wall (11, 11&prime, 11a, and 11b) is provided, running in the central flow direction of the blood. This makes it possible to prevent the formation of an intimal hyperplasia and a pseudointima.