Fitting member for the inside of an automobile

Covering element for the interior of a motor vehicle, the covering element (3) having a visible face (5) and an invisible face (7) opposite the visible face (5), the covering element (3) comprising a weakening line (9) which is formed on the invisible face (7) and defines a gate zone (11) which is to open under the pressure of the deployment of the airbag when the motor vehicle is subjected to an impact, the weakening line (9) comprising a groove (13) which has a given total length and is delimited by a bottom (17) and at least one transverse rib (15) which projects relative to the bottom (17) and closes the groove (13) at least partially, the covering element (3) having a thickness of material between the visible face (5) and the bottom (17) which is between predetermined minimum and maximum limits over most of the total length of the groove (13), characterised in that the groove (13) comprises at least one zone of lesser strength (23) in which the thickness of material between the visible face (5) and the bottom (17) is less than said minimum limit.