A stent/graft assembly includes a tubular graft having an upstream end, a downstream end and a tubular passage between the ends. The assembly also includes a tubular stent having an upstream end, a downstream end and a tubular passage. The upstream end of the tubular graft is affixed in substantially end-to-end relationship with the downstream end of the tubular stent. The affixation may employ sutures, bonding, hooks or the like. The end-to-end connection may also require a slight overlapping to ensure an adequate affixation. The end-to-end disposition of the tubular graft and tubular stent reduces the cross-sectional profile of the stent/graft assembly. One or more wires may extend from the tubular stent through the tubular graft for anchoring near the downstream end of the tubular graft. The wire prevents axial collapsing of the tubular graft and provide radial support for the tubular graft.