A purge cycle is performed with an ink delivery system of an inkjet printer by applying a pressure pulse to a printhead in the printer that is substantially shorter than pressure pulses previously used. A pressure at a predetermined threshold is generated behind a valve and then release to the printhead. The duration of the pressure application is in a range of about 150 milliseconds to about 250 milliseconds. This pressure pulse substantially reduces the amount of ink emitted during the purge. A bidirectional wipe of the printhead face is effective for restoring inkjets in the printhead even though the amount of emitted ink is substantially reduced.