Fortress Investment Group’s resort company Intrawest is close to getting a part of a $40 million guarantee from the Winter Olympic Committee in connection with hosting the alpine events of this year’s games at Intrawest’s Whistler/Blackcomb ski resort, according to a person familiar with the matter.

The Olympics Committee earlier this week said publicly that it would not determine how much it owed Intrawest until after the games concluded. However, a source told The Post that the committee has changed its stand and will pay a portion of that guarantee sometime before the games end.

Getting a portion of that payment could help Fortress stave off an attempt by a lender group to foreclose on Intrawest during the middle of the two-week long event.

The lender group, led by the estate of fallen bank Lehman Brothers, set a deadline of Feb. 19 to get a larger payment in a restructuring of Intrawest’s debt than the less than $500 million that Fortress has offered. The Olympics start Friday.

Fortress, which was founded by Wesley Edens, bought Intrawest in 2006 in a $2.75 billion, highly leveraged buyout. The company is late on a $524 million debt payment, and negotiations between Fortress and Intrawest lenders have gone slowly.

Fortress and the Olympic Committee declined comment.