Treating a transport mechanism (5) for transporting print material (2) in a printing press (1) that uses toner in which oil-bearing substances (27) adhere to the transport mechanism (5). A cleaning device (30) is provided with at least one cleaning element (33) movable relative to the surface of the transport mechanism (5) for application of at least one oil-repelling substance (37) that reduces the adherence of the oil-bearing substances (27) to the transport mechanism (5). Accordingly, this cleaning element (33) can strip the surface of the transport mechanism (5) of oil-bearing substances (27).