"If you had your power, would you want them to run together?" asks Larry King on his CNN show, 'Larry King Live.'
"No. I don't think it's a good idea," says Speaker Pelosi.
On 'Larry King Live,' House Speaker Nancy Pelosi explained why she's not in favor of a so-called dream ticket, despite suggestions that an Obama-Clinton, or a Clinton-Obama ticket, would be the best way to unite the party.
"First of all, the candidate, whoever he or she may be, should choose his or her own vice-presidential candidate. I think that's appropriate. That's where you would see the comfort level of not only how to run, but how to govern the country," says Speaker Pelosi, on the show.
The idea of a dream ticket has been floating around for weeks, but in last week's debate, neither candidate embraced the idea.
"So I put the question to both of you, why not? (long silence followed by a laugh)," says ABC's Charles Gibson.
Pelosi says there is plenty of other talent to draw from. She wouldn't name names, but U.C. Berkeley political science professor David Karol says there are obvious considerations.
"Unfortunately, there's still some resistance of an African-American or a female candidate, and it's likely that either one of them would probably run with a white male running mate," says Karol.
Ted Strickland (D), for instance, is a name often mentioned. His is the Governor of the key swing state of Ohio.
Senator Jim Webb (D) of Virginia is another possibility, the Vietnam War hero could help turn his normally red state, blue.
However, before earnest discussions of a possible running mate, the party must first select a nominee, Speaker Pelosi says she wants superdelegates to make their preferences known by July 1st.