"To think where I was four months ago, to come out here and play as well as I did, it's really incredible", he said.
But Furyk, the U.S. Ryder Cup captain, remained coy about whether he would choose Woods with one of his four at-large picks, saying Monday morning during a news conference to discuss the eight automatic qualifiers that he wanted to let the process play out until his first three picks are announced September 4.
And although Furyk was not about to make it official during a press conference arranged to discuss the eight automatic qualifiers for his team, the 48-year-old conceded he would choose another vice-captain to allow Woods to concentrate on playing at Le Golf National in Paris in September.
"It's important. You want guys who are playing well", Furyk said as he discussed the attributes needed by contenders for a wildcard pick. I think there are a lot of folks out there who probably think that he can help us. "So I will have five". "He knew that Tiger was on a run", Adams said. "So he's priceless, to be honest with you".
"The first real Tiger effect I've experienced, with that many people", said defending champion Justin Thomas, who played two groups ahead and finished tied for sixth.
"I rely on every vice-captain heavily".
Furyk said he would be looking at a "body of work", who is "hot" and how potential picks might fit in with his other eight players in terms of pairings for the foursomes and fourball matches. So to have them there is great. "We want the players who are going to help us be successful".
Woods underwent spinal fusion surgery in April past year and was arrested on suspicion of driving under the influence the following month when he was found asleep at the wheel of his auto. "Scotty played unbelievably well and so did Tiger". His game is trending so it's great to see him playing well.
"I'm not sure numbers are all that important".
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He also joined Jordan Spieth, Woods, Nicklaus and Tom Watson as the only players with three majors before turning 30 since World War II.
The 14-time major victor was appointed in Furyk's backroom in February when nobody - apart from maybe Woods himself - gave him a prayer of teeing it up in the Stars and Stripes for the first time since the Miracle of Medinah.
Tiger Woods proved last week at the PGA Championship that a major victory is around the corner. He climbed to 11th in the standings, with the top eight qualifying at the conclusion of the season's final major.
Much is being made of the fact he's "only" won four times on "the tour", but that would be the US PGA Tour.
The fact that there are three majors before the halfway point in the calendar year can only be beneficial for Woods, who admitted he spent plenty of time in an ice bath before the PGA Championship battling inflammation that was "everywhere".
The only knock on Koepka is that he doesn't win enough elsewhere - the Phoenix Open on the PGA Tour, the Turkish Airlines Open on the European Tour, and two victories at the Dunlop Phoenix on the Japan Golf Tour. Spent four weeks as world No 1 earlier this season.
The "Tiger Effect" was in full force for the PGA Championship's final round on Sunday.
Woods' fellow veteran Phil Mickelson is hoping for a wildcard that would give him a record 12th straight Ryder Cup appearance.
Remarkably, his 196 (66-66-64) in the last three rounds is his lowest score across three consecutive rounds in his major championship career.