A method of making a tubular intraluminal graft in the form of a tubular diametrically adjustable stent having a tubular covering of porous expanded PTFE which is less than 0.10 mm thick. The covering may be on the exterior surface of the stent, or on the interior surface of the stent, or both. The covering may be affixed to the stent by an adhesive which is preferably fluorinated ethylene propylene.
