A dedusting device, such as for a sander, for dedusting particles from a narrow edge of a workpiece has a nozzle device designed to remove the particles from the edge with a blasting fluid. The nozzle device has at least one nozzle outlet opening through which the blasting fluid emerges for dedusting in a blasting region. An exhaust air device designed to extract by suction the particles removed from the narrow edge of the workpiece (has at least one exhaust air inlet opening through which a blasting fluid containing particles enters. A supporting device which, in the operating state, is used for the workpiece to bear against. The supporting device is arranged between the nozzle device and the exhaust air device.