A fluid application system for automatically applying a fluid to the teats of an animal (12) subsequent to the milking of said animal by milking equipment is provided. The system comprises a fluid delivery arrangement comprising a plurality of applicators (17), wherein each one of the applicators is arranged in connection with a respective teat cup (13) of said milking equipment and is provided for applying said fluid to a teat of the animal, to which the respective teat cup is attached during the milking of said animal, in connection with a detachment of the teat cup from the respective teat. The fluid delivery arrangement contains two valves connected in series to provide a failsafe delivery arrangement in order to prevent applying said fluid if one of the two valves fails.