An aortic graft assembly includes a tubular component that defines a wall aperture having a proximal end that extends perpendicular to a major longitudinal axis of the tubular aortic component, and a tunnel graft connected to the wall of the tubular aortic component and extending from the wall aperture toward a proximal end 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 interferring relation with the tunnel graft.