Gaming systems having trigger time indicators

A gaming system comprises a wager input device for receiving at least one wager and one or more displays for displaying a randomly selected outcome of a wagering game. The one or more displays further display a trigger time indicator. The gaming system further comprises at least one controller operative to (i) add a portion of the at least one wager to an actual turnover, (ii) randomly select a trigger amount from a range of available trigger amounts, (iii) calculate a time estimate when the actual turnover will become equal to or greater than the trigger amount based on a current turnover rate, (iv) update the trigger time indicator based on the time estimate, and (v) award a prize in response to the actual turnover becoming equal to or greater than the trigger amount.