An aortic graft assembly (10) includes a tubular component (12) that defines a wall aperture (20) having a proximal end (22) that extends perpendicular to a major longitudinal axis (24) of the tubular aortic component, and a tunnel graft (28) connected to the wall (18) of the tubular aortic component and extending from the wall aperture toward a proximal end (14) of the tubular aortic component. The method for delivery of the aortic graft assembly includes delivering the aortic graft assembly through the wall aperture and into interfering relation with the tunnel graft.