A dosage-dispensing device has a drive unit and a receiver for a dosage-dispensing unit. The drive unit has a drive shaft. The dosage-dispensing unit has a delivery orifice with a closure element that is disposed in the delivery orifice. The closure element is coupled to the drive shaft when the device is in an operating state. The closure element provides the delivery orifice with an aperture cross-section that varies between a closed position and a maximally open position. To couple the drive shaft to the closure element and to open the delivery orifice, the drive unit linearly advances towards the dosage-dispensing unit. A closure spring holds the closure element in a closed position up to the point of complete coupling. To prevent premature opening of the delivery orifice during the coupling process, the drive shaft has limited linear mobility in a direction away from the dosage-dispensing unit.