A fuel supply system for a gas burner assembly includes an eductor for providing a mixed flow of fuel into a fuel chamber of the gas burner assembly. The eductor includes a suction chamber defining a suction inlet, a motive nozzle positioned within the suction chamber, and an eductor outlet positioned proximate an inlet to the fuel chamber. A fuel supply provides a first flow of fuel through a first fuel supply conduit to the suction inlet and a second flow of fuel through a second fuel supply conduit to the motive nozzle. A fuel pump is operably coupled to the second fuel supply conduit for increasing a pressure of the second flow of fuel such that the second flow generates a negative pressure within the suction chamber to increase the first flow of fuel.