Sensor devices for a rolling bearing and roller bearings including said sensors are disclosed. The sensor device may include at least one sensor configured to connect to one bearing race in a manner fixed against relative rotation. At least one signal transmitter may be configured to connect to the other of the bearing races in a manner fixed against relative rotation. The sensor device may further include an outer ring configured to be fastened on an end face of the outer race of the rolling bearing and an inner ring configured to be fastened on an end face of the inner race of the rolling bearing. The sensor and the signal transmitter may be arranged on mutually opposite lateral surfaces of the outer and inner rings.