Uruguay international Suarez was serving a one-match ban but the Reds struck twice late in the game to seal a win that sees them leapfrog West Ham in the table.
Former Hammers' defender Glen Johnson opened the scoring with a tremendous effort before a Mark Noble penalty and a Steven Gerrard own goal turned the game in West Ham's favour. It was another West Ham academy graduate in substitute Joe Cole who pulled the visitors level with a James Collins own goal completing the comeback for Liverpool.
