A wrapping device and a web supplying method are used on board of an agricultural harvester. A supply reel with wrapping material is held between two parts of an unrolling station. A web moving member moves a web taken from this supply reel away from the unrolling station. For replacing the supply reel with a further supply reel, the further supply reel is placed on at least one supporting roller. The or every supporting roller is stationary and is positioned angularly below the unrolling station and between two unrolling station parts. The further supply reel on the supporting roller is shifted in a shifting direction towards an unrolling station part.
