NEW YORK (Reuters) - President Barack Obama warned on Monday the U.S. economy will face continuing "headwinds" from Europe's debt crisis over the next several months but predicted that European leaders would not let the euro zone or its currency "unravel."

"I don't think ultimately that the Europeans will let the euro unravel but they are going to have to take some decisive steps," Obama said at a campaign fundraiser in New York.

"I am spending an enormous amount of time trying to work with them, and (Treasury Secretary) Tim Geithner is trying to work with them."

"The sooner they take some decisive action, the better off we're going to be," he added. Obama's 2012 re-election bid is threatened by high U.S. unemployment and a stumbling economy, which has felt shockwaves from Europe's debt troubles.

(Reporting By Matt Spetalnick; editing by Todd Eastham)