Just a year ago, Woods was recovering from his reconstructive knee surgery and had to watch on television as Padraig Harrington lifted the Claret jug at Birkdale, with Ian Poulter and Greg Norman grabbing second and third.
The 33-year-old added: "My day consisted of trying to get from bed to the couch and then back to bed.
"I caught the last nine holes of it and what Paddy did was pretty phenomenal - a back-nine 32 I believe when it really mattered. He had to shoot a number and he did."
Woods tees off at 0909 BST with Westwood and 17-year-old rising Japanese star Ryo Ishikawa, who narrowly missed the cut at the Masters in April after getting into the elite Augusta field on a special invitation.
Regarding his young rival, Woods said: "There's no reason why he can't play well the first two days and into the weekend. And hopefully I can do the same."
Last year's champion Harrington, who has struggled since tinkering with his swing over the winter, is trying to become only the second player in the last century to win golf's oldest championship three successive years.
Harrington not looking to create history
Despite missing five straight cuts on the US and European tours coming into Turnberry, he did win last week's Irish PGA and is confident his experience can lead to an Open hat-trick.
"The one thing I know is that if I get in position, I can win. That's the nice thing," the 37-year-old Dubliner said.
"Others can get there, but they won't win. I'm going for three in a row, so the spotlight is on me. It's not made it harder, but it's certainly made it more high profile.
"It's probably a little harder to do when it's as high profile. It's not as easy to do your own thing and just work away at it. But going forward, I'm going to be a better player and that's all that counts to me."
Harrington will tee off at 1420 with American Jim Furyk and Australian Geoff Ogilvy.
Meanwhile, US Open champion Lucas Glover admitted that despite his surprise win last month, he will remain unknown to most golf fans in Scotland.
"The ones that do recognise me are very nice and the ones that don't are asking the ones that do who that is," the 29-year-old American said.
Paul Casey is hoping to make his mark at Turnberry this year
"The phone rings a little bit more and there are just a few more expectations but nothing drastic has changed since the win. It's been fun."
World number three Paul Casey is playing the tournament for the eighth time, and with a seventh place at Royal Birkdale last year his best finish, he is determined to impress in a majors.
"I've got to keep plugging away and improving the game. It's not good enough to be tied for the lead with the last nine holes to go," Casey said, who is drawn to play with Japan's Ryuji Imada and Masters champion Angel Cabrera.
"I want to be tied for the lead or one shot back or one shot ahead with three or four to go, that's when it really counts, and see what I'm made of, because I think I'd have a pretty good shot."
Kenny Perry returns after a two-year absence and is in hot form having overcome the huge disappointment of missing out on becoming the oldest player to win a major at the Masters in April.
"I've always loved this Open," Perry said. "I've always enjoyed playing over here. I tell everybody it's like playing on the moon, because it's so different to me.
"I think eighth is my best finish here. I haven't played many Opens. But my game has got better. If I can figure out a way to get in contention on Sunday, I don't think I'll back down. I think I'll be ready to go."
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