Abstract: A non-aerosol fluid dispenser includes a pump defining a fluid chamber associated with the fluid path extending between the container and fluid outlet. The pump comprises a base presenting a chamber opening, a generally non-deformable panel, a hinge about which the panel swings relative to the base, and a hollow, collapsible bellow section extending between the panel and the base. The dispenser includes a boss sealingly received within the chamber opening, with the fluid path extending through the boss and into the chamber between the supply and discharge valves. Accordingly, when the panel is swung toward the base, the bellows section uniformly collapses, whereby positive pressure created within the chamber closes the supply valve and opens the discharge valve for discharging fluid through the dispenser outlet.