Impact resistant, wrappable multilayered woven sleeve and method of construction thereof

A wrappable, woven sleeve includes a wall having opposite edges extending lengthwise between opposite ends, with the opposite edges being wrappable into overlapping relation to bound a central cavity. The wall has a plurality of layers extending from one edge to the opposite edge and from one end to the opposite end in overlying relation with one another. Each of the layers include warp yarns and fill yarns woven together. The wrapped wall has a radially outermost layer and a radially innermost layer. The radially outermost layer has at least one of a first tightness and/or first width and the radially innermost layer has at least one of a second tightness and/or second width, with the first tightness and first width being greater than the second tightness and second width.