An endoluminal prosthesis includes an expandable stent graft that includes a cannula extending through a lumen of the stent graft. A suture is threaded along the perimeter of the graft through openings therein, with an inner end of the suture mounted to the cannula. The cannula is rotatable relative to the graft to wind or unwind the suture around the cannula and cause the graft to become compressed when wound or allow the graft to expand when unwound. The cannula includes an attachment member for retaining an inner end of the suture, and the attachment member can release the inner end of the suture when adjustment of the graft diameter is no longer desired.