A winding tube for glass fiber yarn has an inner cylinder and an outer polyester fabric covering. The inner cylinder is made of a composite having at least two sheets of polypropylene film bonded together, with each sheet having a plurality of parallel fiberglass filaments embedded within the film of that sheet, and with the filaments of one sheet being at an angle with the filaments of the other sheet. The fabric has a spiral stitching. The tube maintains a cylindrical shape when not subject to deforming forces yet has sufficient flexibility that after a desired amount of glass fiber yarn is wound on the winding tube, the winding tube can be radially collapsed sufficiently to permit the winding tube to be withdrawn from within the yarn package. The winding tube is dimensionally stable at the elevated temperatures to which is likely to be exposed.