A hemodialysis use adjunctive device comprises an artificial blood vessel to be transplanted in the body at a location between an artery and a vein, a T-shaped tubular body comprising a straight tube portion and a stem portion and interposed in the artificial blood vessel, and an access tube provided at one end portion thereof with a jack having a pair of needles. A throttling unit is provided in the straight tube portion and is arranged so that it can be located between the pair of needles of the jack projecting from the stem portion to the straight tube portion when the jack of the access tube is connected to the stem portion of the tubular body. This arrangement can provide the result that while hemodialysis can be performed properly, internal membrane thickening of the vein and the resulting stricture or obstruction of the same can be prevented.
