A ready-made media line, comprising a media line with a heating conductor arranged on the circumference and a heatable line connector comprising a connector piece which is formed as a one-piece molding from plastic, and having at least one junction portion as a socket part for a releasable plug connection or as a plug portion for junction connection to an assembly or a media line and with a transitional portion contiguous to the junction portions and having a flow duct, comprising in that, at least in the region of the transitional portion, electrical heating means for the media line are provided in an arrangement circumferentially surrounding the flow duct whereby the heating means comprising at least one resistance wire, which is wound in a coil-like manner on the outside of the connector piece, wherein the connector piece has form elements for guiding and fixing the resistance wire attached on the outside of the connector piece, wherein the connector piece together with the heating means is surrounded by an outer cladding, at least one of the junction portions being designed as a hollow-cylindrical receptacle for directly plugging in the end of the media line, the media line being capable of being fastened in a materially integral manner, whereby the junction portion includes, at least in regions, a material transparent to laser beams in such a way that the media line can be fastened by means of laser beam welding, whereby comprising that a sheathing, in the form of a corrugated tube, surrounds the media line having the heating conductor, the sheathing being led into the cladding of the line connector and being connected with a form fit, and whereby the heating conductor surrounds the media line spirally and consists of two sire windings running parallel, and whereby the heating conductor is a resistance wire or resistance wires surrounding the media line are connected electrically to one another to form a series connection or to form two series connections.