A connector assembly for liquid media pipes, particularly for joining fittings and/or parts of systems for transporting domestic liquid media or the like, comprising a corrugated pipe and at least one tubular head with a central through-hole, wherein the tubular head has a concentric tubular extension with the central through-hole, which is insertable into the inner contour of at least one of the ends of the corrugated pipe, said extension provided with a number of circumferential annular shoulders on its outer contour that are equipped to fit into the inner contour of the corrugated pipe, and the tubular extension having at least one knurled section on its outer surface that is in contact with the inner contour of the corrugated pipe in which said tubular extension is inserted.