Assuming White and Pettway are healthy...
IMO, it all depends upon how much OU's offense relies on rhythm and whether or not they can handle spending a lot of time on the bench.
While Malzhan believes he coined the "Hurry Up, No Huddle" phrase - and he may have, I don't know - they don't actually run hurry up nearly as much as many Big XII teams. I actually like Gary Danielson's NHSHU nomenclature: "No Huddle, Sometimes Hurry Up". They will run the ball and, if successful, will control the clock. They kind of lull you to sleep, giving you time to substitute on most plays - though you may not be able to substitute too often because of the meercat, no huddle play calling - and then surprise you with a string of hurry up plays following a first down or, especially, a big play.
While they certainly have the ability to score quickly and their overall time of possession stats aren't great this season for a variety of reasons, they do have the ability to control the clock. Against LSU, Mississippi State, Arkansas, and Ole Miss - the SEC games where White was healthy and in control of the offense - the Tigers had 10 scoring or half-killing drives of longer than four minutes, including one six-plus and one eight-plus minute drive. The Tigers' time of possession is directly proportional to the number of times their offense goes three-and-out.
Given that Oklahoma ranks 101st in the country in opponent third down conversion percentage and 69th in opponent yards per rush, it doesn't bode well for the Sooners to be able to force a lot of three-and-outs against the Barn's rushing attack. IMO, this would be one of the key stats in the game.
On offense, the Sooners have only played against two teams who were in the Top 40 in Total Defense and Scoring Defense. They lost both of those games, scoring 23 and 24 points. Auburn ranks 21st and 6th in those categories, respectively. The biggest reason for the Barn's high scoring defense ranking is due to the fact that they're fourth in the country in opponents' red zone TD percentage. They force a lot of field goal attempts in the red zone. This, IMO, would be another key stat of the game.
The last two key stats are, first, the most obvious - turnover margin - and, finally, big plays. Turnover margin is self-explanatory and is generally a key stat in every game. Traditionally, Malzhan's offenses and the Barn in general feed off of big plays. Oklahoma's defense currently ranks 78th and 89th in the country in allowing 20+ yard and 30+ yard plays, respectively.
So, for the Tigers to pull off the upset against the Sooners, I think they need the following to happen:
1. Win or at least get a push in the turnover margin.
2. Hold the Sooner's to 50% or less in red zone TD percentage.
3. Have less than 25% of their offensive drives be three-and-outs.
4. Get at least 5 big plays on offense.
Even if they're only able to get three out of four, that'll still keep them in the ballgame with a probable chance to win it in the fourth quarter.