The Ducks used a 22-10 run in the last 7:51 to best the Wildcats.
"There was a point when we were in the locker room saying we needed to win the next seven to really turn the season around. That was our goal, and I'm glad we got it done," senior Mike Moser said.
Jason Calliste gave Oregon the lead on a fall-away jumper that also drew a foul with 4:22 left. He followed the basket up with a three and fellow senior Johnathan Loyd netted another to give the Ducks a 59-51 lead with 2:43 remaining.
Oregon (22-8, 10-8) was able to cut the Wildcat (28-3, 15-3) lead to two points three times in the second half but were unable to knot it on any occasion until Loyd made a driving basket to tie it at 50 with 5:08 to go.
The Ducks had turned it away and forced bad shots on the prior attempts.
Calliste led the way with 18, Loyd had 16 and Moser had his fourth straight double-double, a 10 and 10 effort. Moser became the first player since Maarty Leunen in 2007 to record four straight double-double.
Calliste made 4-of-5 three-point attempts. Included were six straight points to give his team a late five point lead..
"I kind of just put it as if we're going to lose, it's going to be on me, because I'm going to shoot it regardless," Calliste said of the late heroics.
"You know he's not afraid take it. You put the ball in his hands, you know he's not going to shy away from it at all," coach Dana Altman said.
Oregon led once in the first half, at 2-0, and trailed by as much as 12 before the second half rally.
Calliste made a three at the buzzer of the first half to make it a two-point game.
"He just kept us in it. The three right before the half was big shot for us to cut it two instead of five. Then he just hit back shot after big shot down the stretch," Altman said.
Saturday was also the final time seven Ducks would take the court during their careers at Oregon. The seniors showed well, scoring 46 of the team's 64 points.
"On a night where Joe and Dot didn't' shoot it well, our seniors really stepped up and hit some shots," Altman said.
After falling behind 21-13 on the glass in the first half, Oregon evened out the rebound stats at 35.
They made 10-of-19 three-point attempts.
Carter entered the game after Austin picked up his fourth foul with eight to go. He finished with five points, four rebounds, two steals and a crucial block on a driving Nick Johnson.
Oregon seemed at odds to make the NCAA tournament after losing its eight Pac-12 game at ASU, but seven straight has them back in the tournament.
"I never experienced that high and that low like that," Loyd said of the Ducks up-and-down season.
The question on Selection Sunday will no longer be if, it will be who and where.
"The exciting thing is, if we play long enough, there's still a lot there," Altman said.