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