A stent-graft comprising a tubular, radially self-expandable, braided structure comprising elongate bioabsorbable filaments, a bioabsorbable adhesive means, and a permanent graft disposed and adhered with the adhesive means to at least a portion of the structure and forming a stent-graft assembly, the permanent graft and the tubular structure are coextensive along at least a portion of the stent-graft.