A method of maintaining an inkjet printhead in an inkjet printer includes moving a sealing face of a cap into contact with a printhead face in which are disposed nozzles of the inkjet printhead; compressing the cap while a valve connected to the cap is in an open position; closing the valve; and moving a base of the cap away from away from the sealing face while the sealing face is sealed against the printhead face and the valve is closed in order to generate suction at the printhead face for priming the nozzles.