A milk frother system includes a gear pump which, at an inlet side is connected at least to a milk feed conduit that, for its part, is connected during operation to a milk vessel that can be filled with milk, for example by way of it projecting into the vessel. The gear pump sucks milk out of the milk vessel via the milk feed conduit. The system also includes a feed conduit for water and/or steam to the gear pump, for example in order to rinse this after use or also, by way of the feed of steam, to heat the delivered milk. The milk frother system is configured, under predefined conditions and before delivery of milk, to deliver water and/or steam to the gear pump via the feed conduit, in order to wet the gear pump.