An external bodily vessel support comprising an elongate body with a longitudinal axis and an interior to be brought into apposition with an exterior of the bodily vessel. The elongate body including a tubular fabric of a plurality of threads, the body when in a relaxed configuration having a relaxed length and being sized and shaped to fit over of the exterior of the bodily vessel, the tubular fabric being longitudinally elastic to maintain the length with an axial stiffness of at least 0.1 N/m.
