A vascular graft incorporating a stent into a portion of its length. While various materials may be used for the vascular graft, the graft is preferably an ePTFE graft. The stent is preferably a self-expanding stent, although it may alternatively be a balloon expandable stent. The vascular graft preferably has a continuous inner tubular liner that extends between the opposing ends of the graft and provides a continuous luminal surface for blood contact that is uninterrupted by seams or joints. The length portion of the graft that does not include the stent has a greater wall thickness than does the portion including the stent.