A headset with an electro-acoustic input transducer arranged to pick up an acoustic signal and convert the acoustic signal to an electric signal. Based on processing a portion of the electric signal, the voice activity detector is configured to: detect proximal voice activity, distal voice activity and no voice activity, at times when respectively present in the acoustic signal picked up by the electro-acoustic transducer, and to select a respective mode, the selection of which is encoded in the control signal. The first processor is controlled by the voice activity detector to reduce, in the output signal, intelligibility of distal voice activity at least at portions of time periods when the control signal indicates the mode of presence of distal voice activity.