(CNN) – Some called a Barack Obama-Hillary Clinton pairing the "Dream Ticket" in 2008. It didn't happen.

But what about 2012?

"It's on the table," veteran Washington Post reporter Bob Woodward told CNN's John King in an interview Tuesday on John King, USA. "Some of Hillary Clinton's advisers see it as a real possibility in 2012."

 
The scenario – whereby Vice President Joe Biden and Secretary of State Hillary Clinton would switch positions - has been bandied about by political observers for months, seen by some as a potentially savvy strategy to gin up excitement among what appears to be a depressed Democratic base.

But it's never been clear if the idea has been actually discussed in the White House, until now.

"President Obama needs some of the women, Latinos, retirees that she did so well with during the [2008] primaries and, so they switch jobs, not out of the question, and the other interesting question is, Hillary Clinton could run in her own right in 2016 and be younger than Ronald Reagan when he was elected president."