PTFE vascular tubing is guided on to a tapered ultrasonic horn as the horn is oscillating at a high frequency. This action causes the end of the tubing moved onto the horn to expand. The expanded tubing is then positioned on a mandrel having a desired shape, such as tapered, and resintered. The finished tubing with an expanded diameter on one end and a non-expanded diameter on the other end is then removed from the mandrel, and is ready for use. Untapered tubing can also be radially expanded by this method to provide a thinner wall.