World No.7 DeChambeau, Mickelson and Woods finished ninth, 10th and 11th in qualifying, with DeChambeau winning the first two FedEx Cup play-off events in the past fortnight.

Furyk heaped praise on the trio, particularly 14-time major champion Woods, who will now relinquish his role as a vice-captain.

"It's been great to have his help and to get a little feel of one of the best minds in the history of the game on your side helping you out," Furyk said.

"We're all excited to see him healthy again, to see his game playing so well."

Replacing Woods as vice-captain, Furk has added David Duval, Zach Johnson and Matt Kuchar to his backroom staff.

After undergoing spinal fusion surgery in April last year, the 42-year-old Woods only returned to competitive golf in November but has been impressive ever since.

The former World No.1 has recorded five top-10 finishes and missed just two halfway cuts, with sixth place in the Open at Carnoustie and second in the US PGA removing any lingering doubts about his place on the team.

Furyk named Bryson DeChambeau along with Phil Mickelson and Tiger Woods as the Captain's Picks for the US team. PHOTO: Rich Schultz/Getty Images.

"I haven't been part of the team playing-wise for six years," Woods said. "This year to have the honour of being able to play again is beyond special.

"This team is young, full of guys in their 20s. We've got an unbelievable veteran leader in Phil who's been around the Ryder Cup since before some of these guys were born. It's a great mix of guys."

But Woods will be looking to improve on his poor record in the event, which has seen him win 13, lose 17 and halve three of his 33 matches.

Mickelson's record does not make for much better reading. The five-time major winner has won 18, lost 20 and halved seven of his 45 matches. Only Furyk has lost as many matches in the competition.

The 48-year-old had to rely on a wild card for the first time in his career after his chances of qualifying ended with a missed cut in the US PGA, although he did win his first title since the 2013 Open in the WGC-Mexico Championship earlier this season.

"This is most likely my last chance to go over to Europe and be part of a winning team in Europe," Mickelson said.

"It's going to be a great challenge because we know how strong the European side is and how well they play at home but it's a wonderful opportunity to do something I haven't been a part of in my career."

Tony Finau is favourite to get the final wild card on September 10, which will be announced after the BMW Championship.