White rushed 20 times for 68 yards against the Beavers, but 29 yards came on one play. He also dropped a pass on a third-and-7 play in the first quarter.
At 5 foot 11 and 223-pounds, York is a more physical running back than the 5-8, 188-pound White.
"When we recruited him way back when, we saw terrific things on film," Whittingham said about York. "He is running now the way we had hoped he would. I said this earlier in the press conference that there are going to be a lot more opportunities for him going forward, and that is taking nothing away from John, but we feel good about the 1-2 punch we have."
Despite a four-game losing streak, Whittingham continues to find the positives in his team, noting he liked the progression that freshman quarterback Travis Wilson made Saturday.
Wilson had some glaring errors, particularly his fumble and two interceptions, but Whittingham said not all the mistakes were his fault, and overall he continues to be impressed with the quarterback's play.
The one area where he needs to improve is being more patient on the draw plays.
"He needs to let them develop more before he pulls the ball down and hits it," he said. "Travis does have a good capability of running. He doesn't have a lot of mileage, but he does have the ability to run the ball and do some things."
Safety Quade Chappuis, who started while Brian Blechen was serving a three-game suspension, sustained a season-ending shoulder injury and is done for the year.
Chappuis did not play in the last two games. He finished the year with 23 tackles and a forced fumble.
Out for at least three to four weeks is starting left guard Jeremiah Tofaeono, who left the Oregon State game with an injury. He will be replaced by junior Vyncent Jones, who just returned from the injured list himself.
Offensive lineman Latu Heimuli, who has not played in the last three games, continues to be sidelined, Whittingham said.
A limited number of tickets are available for Saturday's game ... Utah's home game against Washington State on Nov. 3 will kick off at 1 p.m. and will be televised by the Pac-12 Networks.