Extrusion head for an apparatus for the production of a twin-wall pipe consisting of a smooth internal pipe and an external pipe welded thereto and provided with corrugations, comprising - an external melt channel extending concentrically to a centre longitudinal axis and leading to an external nozzle, - an external nozzle casing delimiting the external melt channel on its side facing away from the centre longitudinal axis, - an external nozzle channel leading from the external melt channel to an external nozzle outlet of the external nozzle, said external nozzle channel expanding conically, - an external nozzle adjustment device for radial adjustment of the external nozzle, - an internal melt channel extending concentrically to the centre longitudinal axis and leading to an internal nozzle, - an internal nozzle casing delimiting the internal melt channel on its side facing away from the centre longitudinal axis, - an internal nozzle channel leading from the internal melt channel to an internal nozzle outlet of the internal nozzle, the internal nozzle channel expanding conically, and, - an internal nozzle adjustment device for radial adjustment of the internal nozzle, wherein the internal nozzle adjustment device is arranged at the internal nozzle casing and delimits the conically expanding internal nozzle channel at least partly on its outside, characterized in that the internal nozzle adjustment device has an internal radial adjustment ring that is displaceable in a direction radial to the centre longitudinal axis and delimits the conically expanding internal nozzle channel partly on its outside, that the internal radial adjustment ring is radially displaceably arranged on an internal support ring, which is arranged immovably on the internal nozzle casing, and which delimits the internal nozzle channel adjoining the internal melt channel in the shape of a truncated cone on the side facing away from the centre longitudinal axis, and that the internal radial adjustment ring and the internal support ring abut against each other in a sealing manner by means of faces (55, 56) extending radially to the centre longitudinal axis. - an external melt channel extending concentrically to a centre longitudinal axis and leading to an external nozzle, - an external nozzle casing delimiting the external melt channel on its side facing away from the centre longitudinal axis, - an external nozzle channel leading from the external melt channel to an external nozzle outlet of the external nozzle, said external nozzle channel expanding conically, - an external nozzle adjustment device for radial adjustment of the external nozzle, - an internal melt channel extending concentrically to the centre longitudinal axis and leading to an internal nozzle, - an internal nozzle casing delimiting the internal melt channel on its side facing away from the centre longitudinal axis, - an internal nozzle channel leading from the internal melt channel to an internal nozzle outlet of the internal nozzle, the internal nozzle channel expanding conically, and, - an internal nozzle adjustment device for radial adjustment of the internal nozzle, wherein the internal nozzle adjustment device is arranged at the internal nozzle casing and delimits the conically expanding internal nozzle channel at least partly on its outside,