A self-propelled construction machine, in particular a road milling machine, is described. It has a main drive for driving a rotating working means in a working operation and an auxiliary drive for driving the working means in a maintenance operation and a gear transmission on the working means. Lubricant oil is applied to the gear transmission via a lubricant oil circuit and a lubricant oil pump in the lubricant oil circuit, the lubricant oil pump being in drive connection to the gear transmission. An auxiliary pump is provided, which is optionally switchable into the lubricant oil circuit, so that, with reversal of the pump principle, the lubricant oil pump is operated as a hydraulic motor, wherein the drive connection of the lubricant oil pump and the gear transmission is also reversed to drive the gear transmission.