A method is provided for making a tubing, which includes forming a generally tubular inner layer by flowing a first material through an extrusion assembly. At least one non-tubular segment is formed along the length of the tubing by flowing a second material through the extrusion assembly. A generally tubular outer layer coaxial with the inner layer is formed by flowing a third material through the extrusion assembly. The segment is positioned between the inner and outer layers and oriented non-tangentially with an interface between the inner and outer layers. The resulting tubing, which may be suitable for medical applications, may have kink-resistant properties.