An apparatus is provided that includes a graft for coupling two vascular conduits within a patient. The graft includes: 1) an anchor system that forms an arc at one end of the conduits; and 2) a body element coupled to the anchor system. The anchor system comprises a biodegradable stent. In particular embodiments, portions of the graft are either self-expandable or balloon-expandable. In still other embodiments, anchor system includes NITINOL and the anchor system is substantially self-sealing at one end of the conduits. In one embodiment, the body element comprises polytetrafluoroethylene (PTFE) or expanded polytetrafluoroethylene (EPTFE). In yet other embodiments, the body element includes either a gelatinous or an elastomeric coating disposed on its surface.