In a self-propelled construction machine (1), in particular road milling machine, stabilizer, recycler or surface miner, comprising a machine frame (2), and at least one working device (6), in particular milling drum, which is arranged in a housing (4) open towards the bottom that is at least partially closed on at least one side by at least one edge protector (8) height-adjustable relative to the machine frame (2), wherein, for the purpose of height adjustment, at least one first lifting device (10) is provided, the first end (15) of which is connected to the machine frame (2), and the second end (16) of which is connected to the height-adjustable edge protector (8), it is provided for the following features to be achieved: a second lifting device (12) is provided, the first end (18) of which is connected to the machine frame (2), and the second end (20) of which is connected to a first end (22) of a transmission device (14), which is in turn connected, with a second end (24), to the height-adjustable edge protector (8).