An inkjet printer includes: an inkjet printhead; an ink delivery system configured for supplying ink to the printhead at a negative hydrostatic pressure; and an air chamber in fluid communication with the ink delivery system. The air chamber has an air-permeable wall which is impervious to the ink. The air chamber provides dampening of pressure fluctuations in the ink delivery system and, further, is self-recovering from ingress of ink into the air chamber.