A machine (4) and a method therefore, for laying cables helically on the outside surface of a unit pipe element (2) for transporting fluids, the machine having a rotary frame (14) for centering about an axis of symmetry (X-X) of the unit pipe element, the frame supporting a plurality of winding elements designed to receive cables, each being situated in a respective plane that is longitudinal relative to the unit pipe element and the planes being spaced apart from one another around the axis of symmetry of the unit pipe element, means for adjusting the angle of inclination of each winding element relative to the longitudinal plane in which it is situated, a linear travel stepper motor for moving the frame along the unit pipe element, and a rotary travel stepper motor for causing the frame to turn about that axis of symmetry of the unit pipe element.