Abstract: Apparatus for the extrusion-coating of a core, especially of an electrical conductor, with a sheathing having at least two layers or strips of different materials or differently colored materials, the apparatus having feed conduits for the plasticized materials and outflow passageways through which the core to be extrusion-coated can pass, the outflow passageways being selectively connectable to the feed conduits via a distributor device. In order to avoid the need for cleaning the conduits of the distributor device, the distributor device is formed by a sleeve (8) which is arranged rotatably between end positions in relation to an outer housing (1) having feed conduits (2, 3) for the plasticized materials. The sleeve also has a number of conduits corresponding to the number of materials to be extruded, to connect feed conduits (2, 3) alternately to the outflow cross-sections (15, 20) for the plasticized materials.