A woven rope an inner portion comprising a plurality of multifilament fibers in the length direction of the woven rope and a jacket portion covering the inner portion. The jacket portion contains a plurality of monofilament fibers in the length direction of the woven rope and at least one multifilament fiber in the circumferential direction interwoven with the monofilament fibers in the length direction of the jacket portion. The monofilament fibers of the jacket portion form the majority of the outer surface of the woven rope.