In a method and system for operating a robot, at least one first direction, in which an external load acting on a reference is not reliably detectable on the basis of detected joint loads due to the vicinity to a singular position of the robot, is displayed as not being monitored on the basis of detected joint loads, and/or at least one second direction, in which an external load acting on the reference is reliably detectable on the basis of detected joint loads despite the vicinity to the singular position, is displayed as being monitorable on the basis of detected joint loads. Additionally or alternatively, at least one first direction is blocked if an external load acting on the reference in said direction is not reliably detectable on the basis of detected joint loads due to the vicinity to a singular position of the robot, and if at least one direction is blocked and multiple joints of the robot are simultaneously actuated, a monitoring process is carried out on the basis of detected joint loads for an external load acting on the reference in at least one second direction, in which an external load acting on the reference is reliably detectable on the basis of detected joint loads despite the vicinity to the singular position.