A male element for a sealed threaded tubular connection. Before tapered reduction swaging of an end region of a tube and machining in the region of a tapered male threading and a male lip to obtain a male tubular element for makeup into a female tubular element to form a sealed threaded tubular connection after diametrical expansion, the tube is shaped over a portion of its length to produce a cylindrical internal surface that connects via a chamfer to the cylindrical internal surface of the lip obtained subsequently by machining, the radius of the first surface being greater than the radius of the second surface.