A method and a device for producing an outer pipe of a telescope-like support, for reasons of weight and stability, is produced from a standardized zinc-coated steel pipe having a large outer diameter and a small wall thickness. Also included is the telescope-like support and the outer pipe which is contained therein. A pipe portion of the outer pipe is expanded in the method with a punch and subsequently tapered to the original outer diameter again with a ring. A reinforcement of the pipe portion and a calibration of the outer diameter of the pipe portion are thereby achieved. An outer thread can be rolled on the pipe portion.