Device for drawing a bearing onto a body-adjacent section of the roll journal of a roll and drawing the bearing off the body-adjacent section of the roll journal, comprising: a first piston-cylinder unit with an annular inner piston, which is mounted on a body-remote section of the roll journal to be axially displaceable, and with an annular cylinder which is mounted between the bearing and the inner piston on the body-remote section to similarly be axially displaceable, wherein the annular cylinder and the inner piston partly overlap and are mounted to be axially displaceable relative to one another in axial direction and wherein a drawing-on pressure chamber can be formed between the annular cylinder and the inner piston; an abutment ring, which is fixed to the body-remote end of the roll journal in axial direction as abutment for the inner piston; a second piston-cylinder unit with an annular outer piston, which is arranged coaxially and radially further outwardly with respect to the inner piston and is mounted to be axially displaceable and wherein an outer flange of the outer piston at one side bounds a drawing-off pressure chamber of the second piston-cylinder unit in axial direction; and a nut, which can be screwed onto an external thread of the inner piston, for fixing the bearing in axial direction; characterised in that the annular cylinder together with an annular cylinder cover, which is connected with the body-remote side of the cylinder, forms the cylinder unit of the second piston-cylinder unit, in which the outer piston is mounted to be axially displaceable, and the drawing-off pressure chamber is bounded in axial direction by the outer flange of the outer piston and the cylinder cover. a first piston-cylinder unit with an annular inner piston, which is mounted on a body-remote section of the roll journal to be axially displaceable, and with an annular cylinder which is mounted between the bearing and the inner piston on the body-remote section to similarly be axially displaceable, wherein the annular cylinder and the inner piston partly overlap and are mounted to be axially displaceable relative to one another in axial direction and wherein a drawing-on pressure chamber can be formed between the annular cylinder and the inner piston; an abutment ring, which is fixed to the body-remote end of the roll journal in axial direction as abutment for the inner piston; a second piston-cylinder unit with an annular outer piston, which is arranged coaxially and radially further outwardly with respect to the inner piston and is mounted to be axially displaceable and wherein an outer flange of the outer piston at one side bounds a drawing-off pressure chamber of the second piston-cylinder unit in axial direction; and a nut, which can be screwed onto an external thread of the inner piston, for fixing the bearing in axial direction; characterised in that the annular cylinder together with an annular cylinder cover, which is connected with the body-remote side of the cylinder, forms the cylinder unit of the second piston-cylinder unit, in which the outer piston is mounted to be axially displaceable, and the drawing-off pressure chamber is bounded in axial direction by the outer flange of the outer piston and the cylinder cover.