A device with a stepped adjustment for adapting the vertical position of the rolls of a roll stand to the rolling line, wherein the rolls are supported on both sides in chocks and arranged so as to be raisable and lowerable in roll housings, particularly in a four-high skin pass stand or sizing stand operated with low rolling force. The chocks of one of the rolls have on their sides facing the roll housings a toothed segment and complementary toothed rails are arranged in the roll housings opposite the toothed segments and are movable toward and away from the toothed segments.