Allen scored 17 points, the last by converting a three-point play with 38.6 seconds left in overtime after he forced a turnover, and the Cowboys extended the nation's longest winning streak to 13 games with a 67-64 win over Baylor on Tuesday night.
The Cowboys (15-1, 4-0 Big 12) blew a 10-point lead in the second half but managed to pull out the win after Allen took a pass from Melvin Sanders and made a nifty move along the baseline and through traffic for the go-ahead layup. He added the free throw to make it 66-64.
Allen set up the possession when he forced freshman Corey Herring into a turnover.
After scoring just seven points in a 76-56 win over then-No. 11 Missouri on Saturday, Allen made 8 of 13 shots. The junior college transfer is the team's leading scorer at 16 points per game.
Sutton doesn't allow Allen to talk to reporters after games. For now, Allen's play will have to do the talking, and it spoke volumes against the Bears.
"When we needed the big play, Tony made it," said Ivan McFarlin, who added 16 points and 10 rebounds for the Cowboys.
Baylor (9-6, 0-4) had one more chance, but with the shot clock winding down and Allen in his face, Terrance Thomas couldn't get off a desperation shot with 2.5 seconds left. Victor Williams then hit a free throw after being fouled on the inbounds pass.
Lawrence Roberts had 21 points and 17 rebounds for Baylor, forcing overtime when he made a 3-pointer with nine seconds left in regulation.
Roberts scored the Bears' only points in overtime, stealing a pass from Williams and driving for a layup and scoring on a tip-in.
After Sanders hit a 3-pointer to put Oklahoma State ahead, Roberts had his tip-in with two minutes left to put Baylor ahead 64-63. But the Bears didn't score again.
Two missed 3-pointers by the Cowboys and two turnovers by Baylor set up the winning sequence.
"We made a lot of good plays and our players have played a lot of good basketball over the past four games, but not good enough to win in the Big 12," Baylor coach Dave Bliss said.
Williams, who sat out for five minutes after picking up his fourth foul with 10:31 left, added 16 points, and Sanders had 15 for Oklahoma State.
The Cowboys have won 11 straight against Baylor over the past five seasons.
R.T. Guinn also had 21 points, including five 3-pointers, for Baylor. John Lucas had 11 points.
After Roberts' 3-pointer to tie it at 60, Oklahoma State had one more chance in regulation. But Williams' 3-pointer was off the mark as time expired.
Oklahoma State started the second half with a 9-1 run, building a 42-32 lead, its largest, when Allen scored inside with 17:21 left.
Two 3-pointers by Guinn kept Baylor close. The 6-foot-10 center then put the Bears ahead 49-48 -- their first lead since midway through the first half -- with a short turnaround jumper with 9:11 left.
"We thought we had the game under control at 42-32. We quit playing and it turned into a dogfight," Sutton said. "In the end, it came down to winning and experience. Our players are always looking for ways to win."
The Bears never extended that lead, and Oklahoma State was back in front when Allen had a steal and a layup with 6:31 left to make it 51-49. That was the first of three straight baskets for Allen to stretch the lead to 55-51.
The Cowboys led 58-54 when Williams made a 3-pointer with 1:20 left, but Guinn hit a 3-pointer at the other end. Sanders made a short jumper to make it 60-57 with 34 seconds left after grabbing a rebound, but that wasn't enough.
Oklahoma State didn't lead until Sanders' 3-pointer made it 17-15 with 8:16 left in the first half. That was part of a 7-0 run that put the Cowboys ahead for nearly 20 minutes.