A kit for placing a bypass between two body vessels (R, L) of a patient comprises two catheters (10, 11), two guide wires (30, 31) moveable within one of the catheters (10, 11) each and a bypass element delivery system (52, 53, 8) for holding a bypass element (6, 7). The bypass element delivery system (52, 53, 8) is moveable along the first guide wire (30) and the bypass element delivery system (52, 53, 8) is capable of releasing and setting free the bypass element (6, 7). The kit further comprises an expansible element (40) being capable of connecting with the bypass element delivery system (52, 53, 8), of moving the bypass element delivery system (52, 53, 8) towards the opposite end of the first guide wire (30) and of setting the bypass element delivery system (52, 53, 8) free. The inventive kit enables an atraumatic placement of a bypass.