Self-propelled construction machine, in particular road milling machine, stabiliser, recycler or surface miner, which has a machine frame supported by running gears , a drive device for driving at least two running gears, and a work roller arranged on the machine frame, the drive device comprising adjustable hydraulic motors associated with the drivable running gears , which hydraulic motors have a displacement volume (Vg) that can be varied by an adjusting device , and comprising at least one adjustable travel drive-hydraulic pump that is driven by at least one drive motor to supply the hydraulic motors with a variable total volume flow (Q) of hydraulic fluid, a control device being provided which is configured in such a way that the at least one adjustable travel drive-hydraulic pump is controlled in such a way that a total volume flow (Q) of hydraulic fluid is provided depending on the desired travel speed (v), the construction machine comprising, relative to the working direction, a steerable front right running gear and a steerable front left running gear and a steerable rear right running gear and a steerable rear left running gear , a front right hydraulic motor being associated with the front right running gear and a front left hydraulic motor being associated with the front left running gear and a rear right hydraulic motor being associated with the rear right running gear and a rear left hydraulic motor being associated with the rear left running gear, characterised in that the control device is also configured in such a way that a partial volume flow (Q 1 , Q 2 , Q 3 , Q 4 ) is determined for each adjustable hydraulic motor from the total volume flow (Q) provided by the at least one travel drive-hydraulic pump , by means of which partial volume flow the particular hydraulic motor is to be operated, and when the speed (n) of an adjustable hydraulic motor increases as a result of slippage of the running gear associated with the adjustable hydraulic motor, the adjusting device of the adjustable hydraulic motor is controlled in such a way that a displacement volume (Vg) is set for the adjustable hydraulic motor, at which displacement volume the partial volume flow (Q 1 , Q 2 , Q 3 , Q 4 ) determined for the adjustable hydraulic motor is maintained or is set or the determined partial volume flow is restored. the construction machine comprising, relative to the working direction, a steerable front right running gear and a steerable front left running gear and a steerable rear right running gear and a steerable rear left running gear , a front right hydraulic motor being associated with the front right running gear and a front left hydraulic motor being associated with the front left running gear and a rear right hydraulic motor being associated with the rear right running gear and a rear left hydraulic motor being associated with the rear left running gear, characterised in that the control device is also configured in such a way that a partial volume flow (Q 1 , Q 2 , Q 3 , Q 4 ) is determined for each adjustable hydraulic motor from the total volume flow (Q) provided by the at least one travel drive-hydraulic pump , by means of which partial volume flow the particular hydraulic motor is to be operated, and when the speed (n) of an adjustable hydraulic motor increases as a result of slippage of the running gear associated with the adjustable hydraulic motor, the adjusting device of the adjustable hydraulic motor is controlled in such a way that a displacement volume (Vg) is set for the adjustable hydraulic motor, at which displacement volume the partial volume flow (Q 1 , Q 2 , Q 3 , Q 4 ) determined for the adjustable hydraulic motor is maintained or is set or the determined partial volume flow is restored. <EOS>