A system is provided for enable adjusting a level of synchrony between a processing of a media stream and a reference processing. Here, the processing of the media stream and the reference processing is associated with a target level of synchrony. The system comprises an input for obtaining synchronization information indicative of the level of synchrony between the processing of the media stream and the reference processing, and a processor configured for determining a time adjustment to be applied to the processing of the media stream so as to pre-compensate for a drift between the processing of the media stream and the reference processing which will cause a deviation from the target level of synchrony over time. As such, an adjusted level of synchrony may be established which provides leeway for the drift so that, instead of the drift immediately causing an increase in the deviation between the processing of the media stream and the reference processing, the drift may now initially cause a decrease rather than an increase in said deviation.