The invention concerns a nozzle support device (10) comprising a body (12) that has a fluid inlet passage (24) and at least one outlet passage (26), and that comprises a revolving section that forms a hub (16) that extends around a rotational axis (A), a nozzle-carrying head (14) that is rotatably mounted on the hub (16) of the body (12) around the rotational axis (A), and that is designed to simultaneously carry at least two nozzles, and immobilising means (74, 86) for immobilising the nozzle-carrying head (14) in rotation on the body (12) in a plurality of predefined positions, characterised in that the device (10) is provided with a mechanism for rotating the nozzle-carrying head (14) comprising an oscillating drive member (90) provided with at least one retractable drive pawl that has one free end designed to push the drive teeth in succession.