Precision dispense pumps comprise a housing that has an internal chamber disposed therein. A pressurizing assembly disposed within the chamber and includes a cylindrical pressurizing member having a head, a thin-walled skirt extending axially away from the head, and a flange is positioned circumferentially around the skirt. The pressurizing assembly includes a support coupled to backside of the pressurizing member. The support has a cylindrical outside surface sized support the skirt when it is translated from a chamber surface during pressurizing assembly axial movement. A shaft projects through an opening in the support and into a partial opening in the pressurizing member. A fluid transport body is attached to the housing and includes a fluid chamber having a fluid inlet port and a fluid outlet port. An actuator is disposed within an actuator housing attached to the housing and is coupled to the shaft to cause axial movement of the pressurizing assembly within the housing chamber. The pump can includes a vacuum assist element connected to the housing to provide a desired pressure differential within the pump to bias the skirt against supportive chamber or support surfaces during pressurizing assembly movement. Check valves are in fluid flow communication with the fluid inlet and fluid outlet ports to ensuring checked one-way passage of fluid into and out of the fluid chamber during respective intake and output strokes of the pressurizing assembly.