In an elastomeric tube and a method for making such a tube, two medical-grade silicone rubber compositions are coaxially coextruded to form a tube. The compositions respectively differ in at least one physical property and respectively have similar curing conditions. The two compositions are blended at an interface formed between the two compositions during the coextruding, so that between 1-99% of the tube forms a blended gradient. The coextruded tube is then cured.