The 42-year-old golf legend finished the tournament in second place, shooting 14-under par across all four rounds and two strokes behind Koepka.
"I didn't know when I was going to start this year and how many tournaments I was going to play, how well I was going to play", Woods said.
World No. 1 Dustin Johnson, Masters champion Patrick Reed, along with Justin Thomas, Bubba Watson, Jordan Spieth, Rickie Fowler and Players Championship victor Webb Simpson round out the powerhouse American lineup. Woods is due to play next week at the Northern Trust Open in New Jersey, the first event of the FedEx Cup play-off series which features four events in five weeks with a US$10 million (NZ$15.2 million) bonus for the victor.
Having ended the 2017 season in 656th place in the world golf rankings, amid persistent back woes and off-course issues that had more than a few fans wondering if he'd ever play competitively again, Woods has vaulted up to 26th after Sunday's showing. "Congrats to Brooks and his great team on a job well done!"
"Making that putt at least gave me a chance", Woods said. Sunday of the Valspar was also the best-rated golf telecast other than The Masters, since the 2015 PGA Championship.
It didn't bring a 15th major championship, and you can certainly quibble about the lost opportunities along the way.
"When I look at my captain's picks, I'll be looking at guys that have had a great body of work this year, guys that are playing well and maybe hot players at the time", Furyk said. The uphill effort looked good the whole way before stopping on the edge of the hole, unwilling to fall in despite heartfelt pleas from the player himself and the raucous St. Louis crowds.
Nearly as soon as the 100th PGA Championship ended at Bellerive Country Club, the process of tearing down and cleaning up started.
Koepka joins Gene Sarazen, Ben Hogan, Jack Nicklaus and Tiger Woods as the only players to win the US Open and PGA championship in the same season.
Woods has played 14 tournaments in 2018 and made a remarkable rise. The average American cares about Tiger Woods. I realise he's playing very well and I'm excited to see that. "I had the most easy, basic, inside right putt that you could possibly have and I made it". The word he used is "trending".
In addition to finishing second at the Valspar, second at the PGA Championship, and tying for sixth at the British Open, Woods tied for fourth at the Quicken Loans National and tied for fifth at the Arnold Palmer Invitational.
Furyk will name his first three wild cards in three weeks' time and then his final pick a week later.
Woods was appointed a vice captain in late February, and he has said he would like to serve two roles.
And Woods' last chance to apply real pressure vanished when he pushed his tee shot on the par-5 17th right of the creek running along the right side of the hole. And there are no bigger moments in golf than the Ryder Cup. "We want the players who are going to help us be successful".
"I missed the preparation".
Spieth and Reed have starred at each of the past two Ryder Cups as a team.
"I'm just very pleased at what I've done so far ... going from where I've come from, to now over the previous year, it's been pretty cool".