The petition was dismissed on May 28 after trial.
Justice Collin Makail dismissed the petition earlier because the petitioner, Pini, failed to establish that polling was compromised by the setting aside of six ballot boxes.
He has since filed a review in the Supreme Court.
An application seeking leave to review the dismissal will be heard in the Supreme Court on 9 July at 3pm.
Another Supreme Court review arising from an election petition that went for directions today before Chief Justice Sir Salamo Injia was the North Fly petition.