A rolling mill for producing rolled rolling stock is operated in a continuous manner by integrally forming the rolling stock during scheduled operation from a supply device which supplies the stock to the rolling mill to one finishing rolling train arranged downstream of the rolling stock supply device by guiding the stock into the finishing rolling train continuously and rolling it to form a first outflow product. The operation is monitored for a deviation from the scheduled operation that influences the rolling process, wherein in case of a deviation measures are taken to examine whether a second outflow product, which is different from the first outflow product, can still be produced. If the second outflow product cannot be produced, the operation of the rolling mill is altered from a continuous operation to a discontinuous operation, whereby production failures caused by undesired process deviations in a rolling mill can be reduced.