An inkjet printer is provided. The printer comprises an inkjet printhead having a plurality of nozzles; at least one ink reservoir; and an ink supply system for supplying ink from the reservoir to the plurality of nozzles, the ink supply system comprising at least one pressure-dampening structure for dampening pressure fluctuations experienced by the nozzles. A distance between the pressure-dampening structures and at least one of the nozzles is less than 100 microns.