An inner lining part for the interior of a motor vehicle, wherein the inner lining part has a carrier part, which comprises a curvature section, with a curvature running along a longitudinal direction of the carrier part. The curvature section includes a carrier part groove running in the longitudinal direction. A decorative layer overlies a first surface of the carrier part and forms a visible face of the inner lining part. The decorative layer covers the carrier part groove, thereby forming a decorative layer groove on the visible face of the inner lining part. Recesses in one or more portions of the carrier part at the carrier part groove receive folds or thickenings of the decorative layer to thereby permit the visible face of the decorative layer at the decorative layer groove to match the curvature of the curvature section at carrier side regions located adjacent the groove.