The application is directed to a device (1, 1′) for cooling a roll (2), in particular a working roll (2) for rolling rolling stock (3), wherein the device comprises a cooling shell (50, 60) which lies opposite at least one part region of the circumference of the roll surface for forming a cooling gap (5) between the part region of the roll surface and the cooling shell (50, 60), through which cooling gap (5) cooling fluid can flow, and a lever (40, 44) which can be pivoted about a suspension point (8, 48), can be pivoted in the direction of the roll surface and is connected rotatably to a first half (51, 61) of the cooling shell (50, 60) as viewed in the circumferential direction (U) of the roll (2), wherein the cooling gap (5) can optionally be reduced in size or enlarged by pivoting of the lever (40, 44). Furthermore, the device according to the invention comprises a variable-length linear guide (0, 99) which can be pivoted about a further suspension point (88, 48) and is connected rotatably to the second half (59, 69) of the cooling shell (50, 60) as viewed in the circumferential direction (U) of the roll (2).