The present disclosure relates to a hearing device having a microphone, where most of the microphone is shielded by an outer shielding of the hearing device. An inlet in the outer shielding allows sound from outside the hearing aid to travel to the microphone to be picked up by it. However, the combination of the microphone and the inlet results in the microphone becoming more sensitive at some audible frequencies. A damping filter positioned in connection with the inlet acts to counter the acoustic effect of the inlet by damping sound in the audible frequency range, where the microphone has increased sensitivity.