The mowing machine (1) has a mower (6) and a transverse conveyor (7) downstream the mower. The transverse conveyor is arranged directly behind the mower. The mower transfers the mowed crops directly to the transverse conveyor. The transverse conveyor has a transverse conveyor screw, which is rotator drivable around a horizontal screw axis (15) transverse to the travel direction. The transverse conveyor screw is arranged directly behind the mower. The transverse conveyor screw is surrounded by a pan-shaped sheathing.