A dispenser having a housing, a container disposed in the housing for holding a liquid, a nozzle, and a pump. The pump includes a pump inlet, a pump outlet, a pump chamber. The pump inlet is in fluid communication with the container and the pump chamber, and the pump outlet is in fluid communication with the pump chamber and the nozzle. The pump chamber is movable between an expanded position and a compressed position. A first check valve is disposed between the container and the pump, and the first check valve has a first cracking pressure. A second check valve is disposed between the first check valve and the pump, and the second check valve has a second cracking pressure. The first cracking pressure of the first check valve is greater than the second cracking pressure of the second check valve.