The agricultural harvester has a drive axle (16) equipped with a tire (7) and another axle equipped with another tire (8). A tire pressure control system comprises a unit for changing tire internal pressure, and a control unit (20). The tire inner pressure of the all-wheel drive assumes a higher value than in switched-off all-wheel drive. The control unit detects the switching on and off of the all-wheel drive and initiates a change in the tire inner pressure through the tire pressure control system. The latter axle is formed as steering axle (17). The control unit is connected with a control device of the harvester.