A method of milking dairy animals, wherein the dairy animals are milked by a milking implement. An access device is provided for allowing or not allowing a dairy animal access to a waiting area for the milking implement. The access device has at least a first and a second access state, which access states have mutually different accesses for the dairy animals to the waiting area. The method comprises the steps of providing the first access state of the access device identifying by means of an animal identification system an animal which is milked by the milking implement determining a milking implement processing data on the basis of the identified animals comparing the milking implement processing data with a criterion and providing the second access state of the access device when the milking implement processing data meets the criterion.