An arrangement (11) for driving a flat substrate along a longitudinal direction, the arrangement being mounted in a packaging production machine. The substrate has a surface that has sustained at least one modification. The arrangement includes a device (9) for driving the substrate along the longitudinal direction, and a device for bearing the substrate against the driving device (9), and having at least one bearing zone (23) facing toward the driving device (9). The substrate is engaged and driven between the driving device (9) and the bearing device. The bearing zone (23) has a transverse dimension (D) and position (Y), chosen as a function of a transverse dimension and a position of the modification on the substrate, so as to prevent damaging the modification between the driving device (9) and the bearing device.