Abstract: A low profile fold protective textile sleeve for bundling elongate members has longitudinally and laterally interlaced monofilament warp and fill yarns. Flat profile monofilaments are employed in the warp direction and round monofilaments in the fill direction. The flat monofilaments are considerably wider than they are thick, and provide the sleeve with flexibility and bending out of the plane of the sleeve. The round monofilaments may be sized so that their diameter is about the same as the thickness of the flat monofilaments, and they can be bundled together so that the effective width of each bundle approximates the width of the flat monofilament yarns with which they are intertwined. The round monofilaments are heat-set along at least a portion of their length to provide biased living hinge regions of the sleeve, while also lending strength and stiffness to the sleeve along the fill direction.