The Richard Childress Racing driver enters the season-finale at Homestead next weekend ranked third in points and already eliminated from title contention, following a 19th place finish at Phoenix last weekend.
Although Chevrolet has already clinched a 35th Sprint Cup series manufacturer title after Jimmie Johnson won at Kansas earlier during the Chase, Harvick hopes to help Stewart, who has raced for his Nationwide Series team in the past, win yet another driver's title for the bow tie brand.
"Obviously we want to do the best we can in the season-ending points standings, and that's finish third, where we are right now," Harvick said.
"We'll do whatever we can to try to get a Chevrolet into the championship circle there at the end of the season without doing something crazy. If we can help Tony in any way, we will."
Harvick won four races during the regular season en route to becoming one of the leading contenders for the Cup title entering the Chase.
He then led the standings early in the play-off, but was involved in a multi-car incident at Talladega which meant a 32nd place finish and a loss of points from which he has been unable to recover.
The 35-year-old, a two-time Nationwide Series champion as a driver and Truck Series champion as owner of his KHI outfit, has also won most of the biggest races in NASCAR including the Daytona 500, the Brickyard 400 and the All-Star race.
He says he continues to look forward to having another shot at his first Cup championship trophy.
"Well, there's really only one thing that I look forward to, and that's the day that we hopefully win this championship," says Harvick.
"We've been fortunate to experience a lot of the big moments in the sport, whether it be the Daytona 500, any of the other big races, whether it's Nationwide or Truck, we've been a part of those championships, and we've raced for the Truck championship.
"That's the big box left open without the check in it that Richard and our whole organization want to put a check in hopefully as quickly as possible."
Harvick is closing down the shop of his KHI squad as he will no longer field entries in the Truck Series in 2012, while his Nationwide team will merge back to RCR for next year.