Both the world number one and number two will return to action for the first time since the Masters in North Carolina on Thursday.
Woods, fourth at Augusta on his return from the sex scandal that erupted in November, will play with Open champion Stewart Cink and last year’s Masters champion Angel Cabrera, while Mickelson, winner of a third green jacket and fourth major three weeks ago, partners Jim Furyk and South African Rory Sabbatini.
Mickelson is once again closing in on Woods at the top of the world rankings thanks to his victory at Augusta earlier in the month.
It could even happen on Sunday week at the Players Championship in Florida, but that would require Mickelson to claim a first and a second in the two forthcoming events – or two wins – and Woods would have to do worse than he did in his comeback appearance.
While Lefty’s haul of majors now stands at four, he has never enjoyed world number one status and the coming weeks and months could represent one of his best-ever chances.