"He was a little testy with the [Rep. Henry] Waxman question. Essentially, Mr. Waxman was urging him to fight more," one legislator said. "The president reminded folks that he's the president sitting in that chair and he knows how to negotiate."

Obama also told the assembled Democrats not to count on more fiery rhetoric from the Oval Office.

"He said, 'There's a difference between me and a member of Congress,'" another lawmaker said, paraphrasing the president as saying: "When I say something the markets react, all of society reacts, other countries react. I've got to be careful with what I say. I can't just say it for brinkmanship. I've got to say it in a way so that I get what I want said, but I don't upset markets and so on."

"He said it like this," the Democrat elaborated: "'When Eric Cantor says something, Eric Cantor says something. When I say something, markets and countries and people react in a way where it could cause us more problems than we have now.'"