A stent graft delivery device (10) has an indwelling catheter (26) extending from a handle (12) through a pusher lumen and a stent graft lumen outside the guide wire catheter (32) of the delivery device towards the nose cone dilator (16). The indwelling catheter comprises a material able to transmit rotational and longitudinal movement (advancement and withdrawal) from the distal end to the proximal end thereof and a more flexible tip (24). The indwelling catheter facilitates catheterization of a branch artery.