A method of conducting a wagering game on a gaming system, the method including receiving an indication of a wager and displaying outcomes of wagering games on at least one display device in response to a wager indication being received, the displayed outcomes being randomly generated by at least one processor. The method also including accumulating a bonus-event playing time upon satisfying at least one predetermined condition as the wagering games are played, initiating a bonus game in which a player is eligible to receive awards for a period of time, determining, via at least one processor, the accumulated playing time accrued prior to the initiation of the bonus game, allowing the player to participate in the bonus game for at least as long as the accumulated playing time and providing any awards earned by the player during their participation in the bonus game.