Abstract: A method and apparatus for supplying fluid to a deposition device or printhead using the through flow principle. The pressure of fluid entering and exiting the printhead is controlled directly at the printhead by respective pressure controllers, preferably a transducer and control system or a weir. The pressure controllers can be integrated together and mounted on or further integrated with the printhead. The supply system preferably forms a closed loop including a remote reservoir, and the entire system can be arranged such that the overall free surface of fluid is exposed on average to a negative gauge pressure.