Abstract: A device for providing a coating on a surface includes a capillary slot that is open at the bottom and is filled via a supply chamber with coating medium. A substrate is conducted below the opening of the slot with the surface to be coated facing up. The capillary slot is not only determined by the intermolecular binding forces but can be actively fixed. As a result, high coating rates, e.g., between 30 and 100 mm/s, can be achieved. An especially reliable filling of the coating chamber results by providing an overflow container that communicates via a gravity-feed line with the capillary slot. The overflow container is preferably mounted so that it can be adjusted in height above the capillary slot, thereby effecting an adjustable flow of medium through the capillary slot, and an adjustable coat thickness.