A wrapper for wrapping bales, in particular round bales of crop material, includes a frame, a wrapping table to support the bale during wrapping, a wrapping device to wrap wrapping material about the bale. In particular, the wrapper has at least two lateral guiding elements arranged to enclose a bale supported on the wrapping table to limit lateral movement of the bale. At least one of the lateral guiding elements is movable between an open position and a closed position, so that the distance between top ends of the lateral guiding elements is larger in the open position than in the closed position.