In order to improve a food product slicing machine with a circular knife, a carriage for accommodating products to be cut which is guided for displacement parallel to the cutting plane of the circular knife, and a drive motor for the displacement of the carriage, wherein the carriage can be operated manually in a servo operating mode and the operation is assisted by the drive motor, the slicing machine is configured that the assistance by the drive motor in the servo operating mode is dependent on at least one parameter of the carriage movement, wherein the at least one parameter may include the speed or acceleration of the carriage.