Helically winding an extruded web to form a wall of a heated hose about a central axis, extruding a bead of plastics material around a heating wire such that the extruded bead comprises the heating wire at a first location within a cross-section of the extruded bead, helically winding the extruded bead onto the wall of the hose to provide a support helix, and exerting tension on the heating wire to draw down the heating wire toward the central axis such that the heating wire migrates radially inward from the first location to a second location within the cross-section of the extruded bead.