The penetration of moisture and dirt often leads to a premature failure of electroacoustic miniature transducers that are used in hearing aids. A transducer membrane of a miniature transducer is provided at least in part with a hydrophobic and/or oliophobic and/or biofilm-inhibiting coating that, because its layer thickness is less than 10 μm, does not significantly influence the acoustic characteristic of the miniature transducer, and that prevents degradation of the transmission characteristic due to moisture, or moisture-caused damage to the miniature transducer. In addition, the adherence of dirt particles is prevented.