An endograft includes a main body having a wall separating interior and exterior surfaces and adapted to be inserted within the vessel. The main body is characterized by a single proximal opening and two distal openings and at least one aperture extending through the wall. At least one stent is secured to the main body that upon expansion pressure fits the main body into the vessel. An open tunnel is secured to the interior surface of the main body around the main body aperture and secured somewhere along the tunnel length to provide fluid communication between the interior and exterior surfaces of the main body through the aperture and with the vascular branch in proximity to the main body aperture. The insertion of a sleeve positioned partly within the tunnel and extending beyond the exterior surface of the main body into the vascular branch assures to the vascular branch.