Disclosed is an automotive milling machine for machining ground surfaces, comprising an engine frame (2), a movable milling drum (8) which is mounted on the engine frame (2), at least one conveying device (14,18) which is arranged on the engine frame (2) and takes over the milled material (3) from the milling drum (8) at a transfer location (5), and a device (20) sucking off the air that is polluted with dust and fumes. The milled material (3) is enclosed by a duct (16,16a,16b) on the at least o...