The present invention relates to a method for manufacturing a covering element (2), comprising of : i) arranging in an injection mould (1) a sound- absorbing element (6) and an adhesive layer (5), such that the adhesive layer extends over at least a part of the inner surface of the sound-absorbing element; ii) introducing thermoplastic plastic material of increased temperature into the mould at increased pressure, wherein the plastic material spreads over substantially the outer surface of the sound-absorbing element and over a part of the adhesive layer; iii) cooling the whole such that the thermoplastic plastic material forms a solid carrier element which is adhered to a part of the adhesive layer and wherein the sound-absorbing element is at least partly enclosed between the carrier element (8) and the adhesive layer, to the covering element and to the use thereof. The present invention further relates to a covering element, whereby the thermoplastic plastic material is not fibre-reinforced.