A vapor-depositing apparatus for a filament-production installation, in particular an extrusion spinning installation, for the production of at least one filament, in particular an artificial-lawn filament, a packaging tape or a monofilament, following a method according to claim 1, with at least one control or regulation unit, which is configured to adjust the vapor parameter such that a condensation of the water vapor, in particular the dry vapor, on the filament can be counteracted, and with at least one vapor generator or at least one heating and/or cooling aggregate, the vapor generator being configured to vaporize water for a production of the water vapor, in particular the dry vapor, the heating and/or cooling aggregate being configured to adapt, before entry into the vapor-depositing region, the temperature of the water vapor, in particular the dry vapor, in particular the temperature of the water vapor, in particular the dry vapor, obtained from an external vapor source.