A tubular lining material for reinforcing pipelines, utilizable in a pipe-lining method wherein the tubular lining material, having a binder disposed on the inner surface thereof, is inserted into a pipeline and is allowed to advance within the pipeline as the tubular lining material is turned inside out under fluid pressure whereby the tubular lining material is applied to the inner surface of the pipeline with the binder being interposed between the pipeline and the tubular lining material, said tubular lining material comprising an outer layer of an impervious material and provided on the inside thereof with an inner reinforcing tubular jacket wherein the inner reinforcing tubular jacket comprises at least two sheets of high tensile strength and/or high modulus fibers and wherein the sheets overlap at least two locations and wherein said overlap portions extend in the lengthwise direction of the inner tubular jacket.