A device and method for anastomosis are disclosed which may include a stapler with a base and one or more stapling limbs. A graft having an asymmetrical end portion may be sleeved on the base. The apparatus includes a base having a length from a front end and at least one stapling limb disposed proximate the base, with each stapling limb having stapling functionality at its head. Each stapling limb end is configured for movement from an open position at a distance from the front end of the base to a closed position closer to the front end of the base. The front end of the base is configured to engage at least a portion of a graft for connection to a vessel, wherein the base and graft are insertable at least partially into a portion of the vessel with at least a portion of the graft, vessel and base overlapping each other. Control is configured to cause each stapling limb in the closed position to fire at least one staple into the overlapping portions of the vessel and graft to make a connection there between.
