Purdue could not move the ball on its first OT possession and came up empty when Travis Dorsch sent a 43-yard field-goal attempt wide right.
"I felt confident. I just pushed it," Dorsch said. "I think part of it might have been adrenaline. When you kick it down the middle, you don't have to worry about it. I knew what I had to do, and I didn't get it done."
The Bulldogs wasted little time putting away the game. Patrick Pass gained 19 yards on two carries to move the ball into position for Hines' winning kick.
"It was nice to go out on a winning note being the last game of my career at Georgia," Pass said. "I had fun. We never had it in our minds that we were going to lose the game. We have been down before and we know how to play. That was Georgia pride."
It was the second bowl game ever decided in overtime. Toledo defeated Nevada, 40-37, in the 1995 Las Vegas Bowl.
Overtime was nothing new for the Bulldogs, who suffered a controversial 51-48 OT loss to archrival Georgia Tech in their regular-season finale.
Quincy Carter ran for one touchdown and passed for another for the Georgia (8-4), which improved to 18-4-3 in bowl games. The Bulldogs also won the Outback Bowl for the second time in three seasons after a 33-6 victory over Wisconsin in 1998.
Brees, who will be among the favorites for next season's Heisman Trophy, completed 36-of-60 passes for 378 yards with an interception. His passing yards set an Outback Bowl record, surpassing the 336 posted last season by Kentucky's Tim Couch.
"They weren't disrupting anything," Brees said. "They went from man to more of a zone. We drove the ball like we have all year long and we just didn't get any points out of it. That will kill you."
The Boilermakers (7-5), who had won their previous two bowl appearances, fell to 6-2 all-time in the postseason.
"I thought our guys played hard for the most part throughout the ballgame," Purdue coach Joe Tiller said. "Certainly there were turning points in the game."
Ahead 25-18 in the fourth quarter, the Boilermakers squandered a chance to extend the lead when Dorsch missed a 38-yard field goal with just over 11 minutes remaining. The kick was ruled wide right, although television replays showed the ball made it just inside the upright.
It was a rough day for Dorsch, who missed all three of his field-goal attempts and an extra point in the first quarter.
Carter, also a 2000 Heisman hopeful, made an early case by engineering a 13-play, 94-yard drive that tied it at 25-25 with 79 seconds remaining.
The 6-3 signal-caller kept alive that drive with a 21-yard completion to Terrence Edwards on 4th-and-12 to the Boilermakers' 7. But Carter saved his best for last when he scrambled away from a pair of defenders and threw an eight-yard TD to Randy McMichael that deflected off safety Adrian Beasley's hand.
"All season we have kind of dug ourselves a hole and not played well," said Carter, who completed 20-of-33 passes for 243 yards while adding 41 yards on 16 rushes. "But like we always have, we stuck in there and played hard. The breaks went our way and we were able to come away with a victory."
With a high-powered offensive attack, the Boilermakers tried to run Georgia off the field by scoring on their first three possessions.
Purdue received the kickoff and drove 80 yards in 12 plays with Brees capping the drive with a three-yard touchdown toss to Chris Daniels 4:34 into the contest.
Less than four minutes later, Brees and Daniels hooked up again, this time for an 11-yard score. Dorsch missed the extra point, leaving Purdue with a 13-0 lead. Daniels had a huge game with 12 catches for 103 yards.
Brees finished his brilliant first quarter by taking the Boilermakers 80 yards in seven plays. This time, he found speedster Vinny Sutherland with a 21-yard TD but the two-point conversion failed. Brees was 11-of-15 for 157 yards in the period.
Purdue's offense received some help early in the second quarter when Michael Greer fumbled and defensive end Warren Moore recovered on the Bulldogs' 32. On the next play, Brees hit Chris James for a 32-yard touchdown, giving Purdue a 25-0 advantage with 10:38 to play before halftime.
A big play helped start Georgia's comeback. Edwards, a freshman receiver, took an end-around and raced 74 yards into the end zone to get the Bulldogs on the board. Edwards also had eight receptions for 97 yards.
Hines kicked a 32-yard field goal with nine seconds left in the half, cutting Georgia's deficit to 25-10.
Brees finished the half 21-of-32 for 249 yards with an interception. He found it tougher thereafter, completing 15-of-28 passes for 129 yards.
"We wanted to come out and show ourselves," said Georgia defensive tackle Richard Seymour. "We got embarrassed in the first half. They didn't score any points in the second half and we knew we could get the job done in the second half. It was just a matter of execution. In the first half, it was about not getting it done."
Carter pulled the Bulldogs within seven with 4:36 left in the third quarter when he scored on an eight-yard draw play.
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