Abstract: A pipe straightening press is provided with a wheel coupled to its underside. The wheel protrudes below the lowest point of the outer surface of the lower mandrel jaw when the mandrel is contracted, but does not so protrude when the mandrel is expanded. This way the wheel allows rolling the mandrel for positioning within the pipe, but does not interfere with straightening it. In the first embodiment the wheel is rollable around an axle that is fixedly attached to the support arm. The contracted mandrel expands by lowering the lower jaw, which thus lifts the support arm and the wheel with it. In the second embodiment the wheel is located within the mandrel, is fixedly attached to the upper jaw, and protrudes through an opening in the outer surface of the lower jaw only when the mandrel is contracted. In the third and preferred embodiment, the wheel is coupled to the mandrel, and biased downwards and out of the lower jaw by the upper jaw acting on the wheel axle through a spring.