The present invention provides a cover (2) for an interior component of a vehicle comprising: —an exterior cover element (2.1) and —a back coating (B) formed at least as a back barrier (2.2) bonded to the exterior cover element (2.1), wherein —the back barrier (2.2) is formed by a plastic fibres material. The present invention further provides a process for the production of a pour-in-place formed cover (2) and an armrest (3) comprising such a cover (2).