According to a report in The Sun, the 33-year-old world number one, who is in hiding since the November 27 car crash exposed his philandering ways, has told Elin he "will do anything" to save the marriage.
The 29-year-old Elin, who reportedly walked out of the couple's Florida mansion after the number of women linked to her husband soared to 11, has responded to Tiger's plea but on a strict "it's either golf or me" condition.
A close friend of the Swede says she is in no mood to let Tiger travel the world for golfing assignments until their children, two-year-old daughter Sam and 10-month-old son Charlie, are grown up enough to travel with the couple.
"The easy thing for Elin to do would be leave him, take the children and get a divorce. She'd never worry about money again," the friend was quoted as saying by the tabloid.
"She was close to walking out for good. She decided to stay for the kids' sake -- but on her terms. They have agreed to try and rebuild their marriage, but Elin will be the one calling the shots. It will be a long time before he's travelling the globe playing golf unless Elin's by his side," the friend added.
"Tiger will have to work long and hard to get her to trust him again. Quitting golf shows he is willing to sacrifice something he loves so much to protect his family."
Ever since he crashed his SUV against a tree and fire hydrant on the fateful night of November 27, Tiger's fiercely guarded privacy has gone for a toss.
The golfer, who once enjoyed an impeccable reputation, has fallen from grace with revelations of affairs with a string of women, some of whom are openly talking about the sordid details of the flings.
Photograph: Reuters
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