This story has been updated.

Just as the buzz over one potential V.P. suggested by the Drudge Report – Condoleezza Rice – was beginning to fade, the widely-read conservative news site on Tuesday tossed another name into the mix:

Gen. David Petraeus.

Gen. David Petraeus. (Alex Wong/Getty Images)

President Obama whispered to a top fundraiser this week that he believes GOP presidential hopeful Mitt Romney wants to name Gen. David Petraeus to the VP slot!

“The president wasn’t joking,” the insider explains to the DRUDGE REPORT.

A Petraeus drama has been quietly building behind the scenes.

Romney is believed to have secretly met with the four-star general in New Hampshire.

White House Press Secretary Jay Carney shot down the rumor at Tuesday’s press briefing.

“Such an assertion has never been uttered by the president, and again, be mindful of your sources,” he said.

Romney over the weekend spent some time at his summer home in Wolfeboro, N.H., where he met with senior advisers. At a campaign event in Illinois on Tuesday, he declined to answer questions from reporters on whether he had spoken to Petraeus.

Petraeus, the current Central Intelligence Agency director who previously served as the top commander in Iraq and Afghanistan, has repeatedly stated that he has no aspirations to political office.

On top of that, a move by the sitting CIA director to step down from his post in a Democratic administration and join the GOP ticket would be an even more politically precarious move than Jon Huntsman’s resignation of his post as U.S. ambassador to China in the run-up to his own White House bid.

Not to mention the fact that from the very start, Drudge’s previous report that Rice was atop Romney’s short­list appeared to be nothing more than pure conjecture.

Will any of that stop the latest round of Drudge speculation? Unlikely.

Welcome to the final weeks of the veepstakes.

Philip Rucker contributed to this story.