Tobacco products are manufactured by a system (1) including at least a first production machine (2, 5, 8) turning out the tobacco products (3, 28) and at least one user machine (4, 7, 9) in receipt of the products, connected together in cascade. In the event of a stoppage at the user machine (4, 7, 9), the speed of the first machine (2, 5, 8) is reduced to a first level, lower than that of the normal operating speed, whereupon the lower speed is maintained for a programmed length of time during which the tobacco products (3, 28) that continue to be turned out by the first machine (2, 5, 8) are ejected at an outfeed station, and thus prevented from reaching the user machine. |