In a method for finishing fibers and/or textiles by application of an antimicrobial active component, consisting of a silver component (I) desensitized by an additive (II) and optionally together with other antimicrobial agent(s), the additive (II) consists of at least one quinoline derivative. Independent claims are included for: (1) a corresponding antimicrobial finishing composition (A) for fibers and/or textiles, containing (I), (II) and optionally other auxiliaries and additives and (2) fibers and/or textiles, antimicrobiall finished by the process.
