White House spokesman Robert Gibbs is calling it “a bit of a head-scratcher” that rumors are surfacing that President Barack Obama will tap Secretary of State Hillary Rodham Clinton to serve as his running mate on the 2012 presidential ticket.

“It’s just absolutely not true,” Gibbs said during a Tuesday briefing. “That’s not anything that’s being discussed here.”

Washington Post reporter Bob Woodward revived talk of a potential Obama-Clinton ticket during a Tuesday interview with CNN’s John King.

“It’s on the table,” said Woodward, who mapped out a scenario involving Clinton swapping jobs with Vice President Joseph Biden, which would make him the Secretary of State.

“Some of Hillary Clinton’s advisers see it as a real possibility in 2012,” said the veteran reporter.

But Gibbs said Biden has been doing “an extraordinary job” and that Obama has said that tapping him as his second-in-command was “one of the best decisions he’s made.”