An automatic washing machine includes a wash additive dispenser for dispensing detergent and one or more additives into a wash tub. Water is delivered to a first wash agent chamber in the wash additive dispenser for delivery into a wash tub during a wash cycle. Water is subsequently delivered to a second wash agent chamber to flush from that chamber any unintended collection of water or additive residue therein, as may result from the water delivery to the first wash agent chamber and/or from an earlier dispensing of additive from the second wash agent chamber.