A method of forming a reinforced tubular medical device in a continuous operation, and a medical device formed by the continuous method. An elongated core capable of movement about a line is provided. An elongated tubular member is formed around a moving length of the core by extruding a coating of a functionalized polymer around the moving core length, applying a reinforcing member to an outer surface of the functionalized polymer coating along the moving length, and extruding a polymeric outer jacket over the functionalized polymer and reinforcing member along the moving length, such that a bond is formed between the functionalized polymer and the polymeric outer jacket. The elongated tubular member is cut to desired length to form the tubular medical device, and the core is removed from the device.
