"You know, I think that Tiger has acknowledged that he betrayed his family and that's a personal issue that he has got to work out," said Obama who is an avid lover of the game.
"I hope they have worked it out, I'm sure he is going to still be a terrific golfer," Obama told FOX news.
Woods has not played for the past five months following the sex scandal that has received worldwide attention as several of the golfer's mistresses came forward with lurid details about his infidelity.
The cat was out of the bag after his wife Elin found out about his affair with, Rachel Uchitel, a New York party planner, which led to an argument and accident on November 27 when Woods crashed his SUV outside his Florida mansion sustaining minor injuries.
Woods has completed six weeks of sex-rehab at two different centres in the US and last week he announced his return to the game - contrary to what he said in his apology to the world in February.
"I do plan to return to golf one day. I just don't know when that day will be," he said, ruling out 2010.
"When I do return I need to make my behaviour more respectful of the game."
