The exhaust gas side, a binary lambda probe has a first electrode and a second electrode, the adjacent to a reference air volume is arranged. Further, it is associated with a current source, the electrically between the first and second electrode is arranged. A potential difference between the first and second electrode forms a measurement signal (ms) of the binary lambda probe. In a measuring operation of the binary lambda probe, the current source in a measuring mode (mbz) is operated and the measurement signal (ms) is provided. For setting a predetermined oxygen concentration in the reference volume is the current source in a regeneration operation state (rgbz) is operated and specifically in the sense of adjusting the oxygen concentration in the reference air volume. If a predetermined condition is satisfied and an operating state of the overrun operation of the internal combustion engine, the current source in said measuring mode (mbz) and operated as a function of the measurement signal (ms) of the binary lambda probe, a control signal (sts) for the current source for their regeneration operation state (rgbz) is determined for adjusting the predetermined oxygen concentration in the reference air volume.
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