A sheathing method includes the steps of depositing a bale on a sheathing carrier. The bale is pushed onto the carrier and slides on the carrier base plate against the preceding bale using a pusher-ejector device. A pushing motion of the pusher-ejector device causes a handling equipment to simultaneously move the tractor attached to the handling in a direction opposite to the direction of the pushing motion. The movement of the tractor is caused by a cross piece arranged beneath the frame of the pusher-ejector device. The carrier has a stop integral with the two rails that define the base plate. The cross piece contacts the stop to move the carrier by a step corresponding to a length of the bale in the same direction as the tractor.