Speaking on "CBS This Morning" with Charlie Rose and Gayle King on Wednesday, the 32-year-old Australian was wearing his green jacket, the well-known perk for his playoff victory on Sunday at Augusta National in a two-hole sudden-death playoff over Angel Cabrera.
Woods, the 14-time major champion who is going on five years without winning one of the game's four biggest tournaments, finished tied for fourth, 4 strokes back, and was the subject of considerable controversy because of a rules violation that resulted in a 2-stroke penalty.
Scott, who credited Woods' former caddie Steve Williams with helping him to read the winning birdie putt in near darkness, didn't waver on No. 1-ranked Woods' ability to surpass the Golden Bear.
"I absolutely believe he will," Scott said. "I have learned in my career and have played through [Woods'] prime the whole time, which has been hard because he was so dominant. I never doubt what he is capable of on a golf course. He's just proven us all wrong so many times if you doubt him. He'll find a way to do it for sure. I believe that."
Scott has long been considered an elite player with the potential to win major championships. He won his first European Tour title in 2002 and won the Players Championship in 2004. But major success was fleeting, and he suffered a crushing defeat last summer at the Open Championship, where he bogeyed the final four holes to lose to Ernie Els by a stroke at Royal Lytham & St. Anne's.
Then there was the Australian burden. No player from the golf-proud country had ever won the Masters, most notably Greg Norman, who three-times was runner-up.
"Ever since I saw Larry Mize chip in against Greg Norman in 1987. ... I was 6 years old. It broke my heart," Scott said. "I got to stay home from school. My mom was crying. The green jacket has meant so much to every Aussie kid for such a long time.
"We've gone so long, and I've answered the questions throughout my career, 'When is an Aussie going to win the Masters?' When would I win?' To see my hero Greg Norman come so close and see what he's meant for the game, it's gone on for too long. There were four of us [Jason Day, Marc Leishman, John Senden] playing so well last week, the Australians. It could have been any one of us.
"I'm just so privileged that it was my time and fell on my shoulders."
Scott, who for a time dated tennis player Ana Ivanovic and has long been the subject of tabloid speculation regarding his relationships, revealed that he is back with a former girlfriend, Marie Kojzar.
"That's all quite embarrassing, really. Flattering," he said. "I'm not single at all. I'm very much in a relationship and very happy."
Scott is not expected to play again until the Players Championship May 9-12.