A pump comprising a housing including first and second housing sections and a gasket between the first and second housing sections. The housing has a first pumping chamber, an inlet, an inlet passage in the housing leading from the inlet to the pumping chamber, an outlet and an outlet passage in the housing leading from the pumping chamber to the outlet. A pumping member is movable in the pumping chamber to pump fluid through the pump. Inlet and outlet check valves are provided in the inlet and outlet passages, respectively with each of the check valves including a movable valve element. The gasket forms a seal between the first and second housing sections and includes at least one of the valve elements for the check valves.