A method of making a flexible medical article or tube, for example, a sheath for a vascular access device, is provided. The method can include extruding a polymer, for example, a polycarbonate-urethane copolymer, to form a tube and annealing the extruded polymer. The method can further include cutting the extruded tube to a desired length before or after annealing, flaring one end of the annealed tube and over-molding the flared portion onto a hub, and forming the other end of the tube into a tip. A sheath formed by such a method is also provided.
