Abstract: A method of winding a pre-impregnated fabric strip onto a sloping surface includes a step of deforming the pre-impregnated fabric strip by applying differing traction forces to the pre-impregnated fabric strip, the traction forces being directed in a longitudinal direction of the strip, the values of the applied traction forces differing across the transverse direction of the strip. The differing traction forces are applied by tensioning the pre-impregnated fabric strip between firstly a pair of brake rollers and secondly a traction device present downstream from the pair of brake rollers, the traction device driving the pre-impregnated fabric strip at speeds that differ across the transverse direction of the strip. The method further includes winding the deformed strip onto a surface of revolution of winding tooling including at least one portion that forms a nonzero angle with the axis of revolution of the surface of revolution.