A bale wrapper and a round baler with such a device are described. The bale wrapper comprises a supply device, extending along the width of a bale chamber of a round baler, for the introduction of wrapping material. The supply device comprises a shielding layer, located on its upper side, for the upper-side shielding of a free end of the wrapping material, to be introduced into the bale chamber. In order to improve the supply operation of wrapping material into the bale chamber, the shielding layer comprises several shielding lips, located parallel to one another along the width of the bale chamber, which extend in the direction of an interior of the bale chamber.