An agricultural harvesting combination comprises a harvester and a round baler. The harvester comprises a pick-up unit, a crop processing unit, and an output device. The round baler comprises a bale forming device providing a drum-shaped bale forming chamber and a further chamber. The harvester picks up crop material, processes it, and ejects it towards the round baler. The round baler receives ejected crop material and forms round bales from it. Thanks to the further chamber the round baler can operate in a continuous manner.