Prodn. of the conductor contg. a light waveguide comprises introducing a light waveguide (5) into a filling head (11) via a tube (35) opposite a middle axis (13) of the head (11). The tube (35) is rotated about this axis (13) so that a filling gel (21) is fed into the head (11). At least one waveguide (5) is fed together with the gel into the extruder gel (39). The conductor shell is extruded in the head (39).An appts. for carrying out the process is also claimed.The waveguide (5) and gel (21) are fed into the head (39) by a filling rod (37), which can either be rotating or stationary. Light waveguides in the form of a bundle (55) are introduced into the head (11).
