A squeeze pump has an elastic tube disposed between an inlet and an outlet of a cylindrical drum and extends along an inner peripheral surface of the drum. A pair of pressing rollers spaced by 180 degrees are arranged to press the tube. The tube is deformed into a flat shape with two bent portions to transfer a slurry within the tube. The tube has a large diameter in the inlet and a small diameter in the outlet. Each pressing roller has a large diameter formed at the middle and a small diameter at both ends. A support member extends along the inner peripheral surface of drum to support at least one of the bent portions of tube when the tube is pressed by the pressing roller.