Packaging machine and discharging device for a packaging machine, and a method for filling bags by means of a packaging machine, wherein a bag to be filled is filled by means of a filling element and the filled bags are taken off by means of a bag take-off device and transferred to a discharging device. The discharging device comprises a conveying device for conveying off the bags filled with bulk goods, wherein at least one monitoring device for monitoring the tightness of the filled bags is provided which is associated with the conveying device. Said monitoring device comprises a weight sensor which captures a measure for the bulk material escaping from a bag to determine a parameter for the bag leakiness.