Lining for a motor vehicle seat

Covering (1) for an automobile vehicle seat comprising at least one covering piece (P) assembled to at least one band (2) of which at least one portion (23, 25) has a weave with a first density and at least one sector (22) has a weave with a second density lower than the first density, the assembly seam between the band (2) and the covering piece (P) being disposed at the level of the sector (22) having the second density.