A method for manufacturing floor coverings (12, 12') for motor vehicles, comprising: - a step of producing a web of fibers, elongated along a longitudinal direction, the fibers of which having an orientation forming a mean angle (α) with respect to the longitudinal direction, - a step of passing the fiber web along the longitudinal direction through a looping system comprising a set of rotating disks and fixed looping elements so as to generate undulations, - following the passing step, a step of bringing the layer over a conveyor equipped with brushes, and of accumulating the undulations in the brushes so as to reach a predetermined density, - a step of depositing a first pre-needle-punched layer of fibers over the accumulated undulations, - a step of assembling the accumulated undulations with the first pre-needle-punched layer by needle-punching through the brushes so as to obtain a structure, characterized in that the method comprises: - a step of assembling the structure with a second pre-needle-punched layer of fibers so as to obtain a sandwich structure, and - a step of separating the sandwich structure so as to obtain two symmetrical velour coverings (12, 12'), and in that: - the web is a card web with a mean angle (α) of orientation of the fibers comprised between 5 and 10° and an area density comprised between 80 and 120 g/m 2, - the method comprises, prior to the passing step, a step of longitudinal drawing of the web, with a stretch ratio comprised between 1.5 and 2, for reducing the area density thereof. - a step of producing a web of fibers, elongated along a longitudinal direction, the fibers of which having an orientation forming a mean angle (α) with respect to the longitudinal direction, - a step of passing the fiber web along the longitudinal direction through a looping system comprising a set of rotating disks and fixed looping elements so as to generate undulations, - following the passing step, a step of bringing the layer over a conveyor equipped with brushes, and of accumulating the undulations in the brushes so as to reach a predetermined density, - a step of depositing a first pre-needle-punched layer of fibers over the accumulated undulations, - a step of assembling the accumulated undulations with the first pre-needle-punched layer by needle-punching through the brushes so as to obtain a structure, characterized in that the method comprises: - a step of assembling the structure with a second pre-needle-punched layer of fibers so as to obtain a sandwich structure, and - a step of separating the sandwich structure so as to obtain two symmetrical velour coverings (12, 12'), - a step of assembling the structure with a second pre-needle-punched layer of fibers so as to obtain a sandwich structure, and - a step of separating the sandwich structure so as to obtain two symmetrical velour coverings (12, 12'), - the web is a card web with a mean angle (α) of orientation of the fibers comprised between 5 and 10° and an area density comprised between 80 and 120 g/m 2, - the method comprises, prior to the passing step, a step of longitudinal drawing of the web, with a stretch ratio comprised between 1.5 and 2, for reducing the area density thereof.