Rolling stand for rolling a long or flat product comprising a work cylinder (1,2) and a device for cooling said work cylinder (1,2), characterised in that it comprises a cooling head in the form of a box that is more or less watertight in itself (6A,6B) except on its front (42), positioned a short distance from said cylinder (1,2) and in which several nozzles (41) have been machined or positioned according to a two-dimensional pattern, said box (6A,6B), equipped with a means for supplying a liquid coolant, being concave and cylindrical at a level of its front (42) with a radius such that, when the device is in the working position, a distance in the radial direction between said front (42) and the surface of the cylinder (1,2) increases starting from the end of the box (6A,6B) closest to the rollgap (9) and going away from the product being rolled.