Abstract: A method of making a tubular elastic sheath having an adhesive-coated inner surface and particularly suitable for use as an external male catheter in a urine-collection system. In such method, the sheath is supported upon a mandrel and a flexible laminated tape, composed of first and second adhesive layers separated by an elastomeric layer, is placed in adhesive contact with the inner surface of the sheath or, alternatively, with its outer surface. Thereafter, the cylindrical body of the sheath is rolled upon the mandrel so that the tape is interposed between successive turns of the sheath, with the first adhesive layer in engagement with the sheath's inner surface and the second adhesive layer of the tape in contact with the sheath's outer surface.