A woven vascular graft having a texturized outer surface to promote tissue ingrowth into the graft. The outer surface of the graft is equipped with a plurality of threads that are woven into, and extend from, the outer surface. The threads may be arranged in rows, lines or a geometric pattern. Alternatively, the threads may be towel-like. Such towel-like threads may be arranged in the form of a cuff at each end of the graft, or may cover larger portions of the exterior of the graft. The graft may be equipped with only one texture, or with a plurality of different textures.