An ink delivery system in an inkjet printer includes a printhead mounted on a carriage in the inkjet printer. The printhead has nozzles to eject ink droplets for image printing. The system includes an ink reservoir for delivering ink to the printhead. The ink reservoir is positioned so that the ink level is from 0 to 8 inches below the printhead. A pulsation dampener is connected between the ink reservoir and the printhead. The pulsation dampener includes two chambers within a body, wherein a weir separates the chambers. A resilient member is located in one of the chambers and a membrane covers the chambers and the resilient member. The resilient member provides a recovering force against the membrane. Embodied herein is a method of delivering ink to a printhead mounted on a movable carriage using the embodied ink delivery system.