In a round baler for agricultural crops including a supply station for feeding-out a strip-like covering material for the fully wound round bale and a cutting device for severing the covering material, simple provision is desirable for pulling the new leading-edge of the strip of covering material away from the knife-edge after the cutting process. Drive shafts of the advancing roller and a detainable ratchet wheel are mutually coupled in rotatable manner by a resilient hub-shaft connection. The hub-shaft connection is constructed such that, when the ratchet wheel is detained, the advancing roller can still rotate through a small angle and thereby deform resilient drive elements in order to produce an extremely high tension in the strip. The restoring forces so created turn the advancing roller in a direction opposite to the direction of movement of the strip as soon as the strip is severed. The leading-edge of the strip is thereby pulled away from the knife-edge.