The present invention relates to a bale-wrapping machine (1) for wrapping a bale (6) of material with a wrapping material. The machine comprises means (5) for engaging a bale for wrapping and for rotating the bale about a substantially horizontal axis. The machine further comprises a main rotary wrapping arm (7) for supplying a first strip of wrapping material to the bale as the bale is turned about the horizontal axis and an auxiliary rotary wrapping arm (12) for supplying a second strip of wrapping material to the bale as the bale is turned about the horizontal axis. The auxiliary arm (12) is pivotable relative to the main arm (7), such that the auxiliary arm is moveable between a &lsquo；rest&rsquo； position, in which it is arranged adjacent to the main arm, and a wrapping position, in which the auxiliary arm is arranged substantially opposite the main arm.
