A tubular prosthesis (10) is provided which includes a tubular (12) member andan outer covering sealed (14) to portions of the tubular member, with a pocket(16) being defined therebetween. A filling agent (18), preferably asubstantially incompressible agent, is disposed in the pocket so as to causeportions of the outer covering to expand from the tubular member. As anendovascular prosthesis, the filled pocket can be used as a seal against thewall of a blood vessel to prevent Type I endoleaks.
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