A jogging device for a feeder of a mail handling machine, which jogging device comprises a side jogging abutment mounted to move, under the action of a drive motor, along a guide rail that is disposed perpendicularly to a referencing wall, said side jogging abutment being provided with at least: a first sensor that is fastened to its base and that, when unmasked, causes said side jogging abutment to move towards said referencing wall, and, when masked, causes this movement to stop; and a second sensor that is fastened to the top of said side jogging abutment and that, when masked, causes said side jogging abutment to move away from said referencing wall, and, when unmasked, causes this movement to stop.