PROBLEM TO BE SOLVED: To provide a media item transport module for receiving media items from one or more picking units (take-up units), and for transporting and providing the media items to customers.SOLUTION: The media item transport module comprises: an upward transport, a divert transport, and a stacking transport. The upward transport extends from a pick coupling area to a diversion area and is operable to route individual media items from the pick coupling area to the diversion area. The divert transport extends from the diversion area to a diverter port. The stacking transport extends from the diversion area to a stacking port. A diverter is located at the diversion area, and is operable to route the media items to either (i) the divert transport, or (ii) the stacking transport, in response to a signal received from a media item thickness sensor.