Fleetwood finds itself this year for the second time with Woods for the start of tomorrow at the Northern Trust and the opening of the ultra-lucrative FedEx Cup Play-Off series in Paramus, New Jersey.
But unlike their & # 39; random & # 39; Masters will play three-ball, Woods, Aussie Marc Leishman and Fleetwood as the 20th, 22nd and 23rd place respectively at the FedEx Cup point table and with the current 21st ranked Rory McIlroy who does not choose the Ridgeway Country Club.
The reigning European No 1 ranked Fleetwood ended four shots during the two days for Woods in Augusta and is ready to grab another Ryder Cup boost this week in New Jersey.
"The more you play with someone like Tiger, the more comfortable you are, the more you use it and the more it becomes the norm," Fleetwood said.
"So, I'm sure if I were to be paired with Tiger to the Ryder Cup, that certainly would not hurt."
Woods will know on September 4 whether he will go to Versailles as vice-captain or, and everyone expects, to compete and what will be an eighth USA Ryder Cup cap, but a first since 2012.
And when he is questioned by this writer, whether he thinks he will get a choice or if he would not be disappointed if he were not chosen by Furyk, he gave an answer that would suggest that he had already been informed by Furyk asked about his upcoming selection.
"I want to be picked and I want to be part of the team," said Woods.
"The interesting part here is that I am a vice-captain, so we talk a lot about myself in the third person, so that's one of the more interesting conversations we had.
"We had a lot of fun with it, but yes I'm one of the guys on the shortlist and sometimes I have to get myself out and talk about myself in the third person, which is a bit strange.
"And yes, I do dream about being in the team.
"At the beginning of the year I stated that I told Jim that I wanted to be part of the team, not just as a captain, but as a player, and I'm very close to making that happen.
"It has been a long year and one of my goals was to make that team, because to be part of that team, you have to be one of the 12 best players and I'm a bit trending for that."
Woods also returns to the league this week after his sublime second place last two weeks in the PGA Championship in St. Louis.
And after having come close to an end to a five-year winless run, the current World Nr. 26 always convinced to finally break through for success.
"I feel that my next victories will come soon," he said.
"How fast, I do not know, but I'm putting myself in tournaments now, I did it with two of the last three tournaments I've played in and it was big events, so I'm not that far from getting it done. "
And as we saw at Bellerive, Woods now has the game to get closer to Sam Snead's 82-time wins on the PGA Tour.
"To get to Jack's record, I have to pass on Snead's record," he said, smiling.
"It's just simple math. Yes, to get to Jack's last 18, I have to pass Sam & # 39; s, and I want to make that happen. I'm close, I almost won this year winning tournaments .
"I think if I continue to give myself opportunities, I'll get the job done."