The invention relates to a device for cooling scalp with a cooling fluid, which device comprises:- a skull cap having an inner wall, an outer wall and a plurality of connecting walls for connecting the inner wall with the outer wall while defining cooling channels there between,- at least one inlet connector connected to the cooling channels for supplying a cooling fluid to the cooling channels- at least one outlet connector connected to the cooling channels for discharging the cooling fluid from the cooling channelswherein the channels in the skull cap extend from the forehead edge, over the top zone of the cap to the neck edge of the skull cap.