A fluid application system for automatically applying a fluid to the teats of an animal subsequent to the milking of the animal comprises a fluid delivery arrangement comprising a plurality of applicators, wherein each of the applicators is arranged in connection with a respective teat cup and is provided for applying the fluid to a teat of the animal, to which the respective teat cup is attached during the milking of the animal, in connection with a detachment of the teat cup from the teat. A control arrangement is provided for (i) determining, for a detachment of a teat cup from a teat, whether that detachment is a normal detachment or an abnormal detachment, and (ii) controlling, for the detachment of the teat cup from the teat, the applicator arranged in connection with that teat cup to apply the fluid provided that the detachment is a normal detachment and to not apply the fluid provided that the detachment is an abnormal detachment.