A drilling tool includes a tubular housing, a bit drive shaft configured to rotate in the housing and support a rotary drill bit at a lower end of the bit drive shaft, and a plurality of bracing devices arranged in the housing. The drilling tool also includes a control device configured to actuate the bracing devices, wherein the bracing devices include anchoring elements and an actuator assembly to which the anchoring elements are coupled The anchoring elements are distributed over the circumference of the housing, wherein the anchoring elements are movable radially outwardly and inwardly and are configured to be retracted into grooves in the housing The radial movability of said anchoring elements is temperature-controlled by the actuator assembly which includes at least one heat-expandable pressure medium, and wherein the pressure medium includes at least one of a gas and a liquid.