In a new book, 'The Gamble', to be published Tuesday, Washington Post reporter Tom Ricks confirms an earlier report that in his initial encounter with Petraeus in Baghdad last July, Obama had made no effort to hide his sharp disagreement with the general's views. Obama interrupted a lecture by Petraeus, according to Ricks, and made it clear that, as president, he would need to take a broader strategic view of the issue than that of the commander in Iraq.

Ricks, who interviewed Petraeus about the meeting, writes that Obama's remarks "likely insulted Petraeus, who justly prides himself on his ability to do just that..." That strongly implies that Petraeus expressed some irritation at Obama over the incident to Ricks.

On top of the interest of Petraeus and other senior officers in keeping U.S. troops in Iraq for as long as possible, Petraeus has personal political interests at stake in the struggle over Iraq policy. He has been widely regarded as a possible Republican Presidential candidate in 2012.

Petraeus evidently believed the White House was promoting a story that made him look like the loser at the Jan. 21 meeting. "I imagine the White House is not too happy that this information is out there," said the military source, referring to the Petraeus account he had provided to IPS.

Obama is obviously treading warily in handling Petraeus. His concern about Petraeus's political ambitions may have been a factor in the decision to bring four-star Marine Corps Gen. James Jones in as his national security adviser.

"I've been told by a couple of people that one of the reasons for Jones being chosen was to have him there as a four-star to counter Petraeus," says one Congressional source.