A control system and method are disclosed to operate with at least one roll stand of a rolling mill to determine the magnitude and phase relationship of the eccentricity of each back-up roll of a four high roll stand, to monitor the rotation of the back-up rolls during the rolling process, and for each back up roll to correct the roll vertical position as a function of the roll angular position to compensate for the eccentricity of the respective back-up rolls as they rotate. This correction will remove the workpiece delivery gauge error induced by the eccentricity, and the gauge error induced by the improper response of the roll force gauge control equation to the eccentricity, particularly for application of a roll force gauge control system.