(CNN) – Vice President Joe Biden joked Sunday that he and Secretary of State Hillary Clinton would run for the White House in 2016 "as a team," and in a Tuesday interview, Clinton suggested they are indeed a solid team.
"We've been on the same team in the Senate, we're on the same team now with President Obama," she told CNN Foreign Affairs Correspondent Jill Dougherty. "No matter what I do in future I'd love to have Joe be on the team because he is a great and effective person who cares deeply about our country."
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Clinton has repeatedly shot down suggestions that she would run in 2016, most recently while traveling in Kolkata, India this weekend.
"I'm very flattered but I feel like it's time for me to kind of step off the high wire," she said. I've been involved at the highest levels of American politics for 20 years now."
Others, however, have not been so sure.
Her husband, former President Bill Clinton, said in an April interview, "If she changes her mind and decides to run I'll be happy." But, he said, "I believe she's being absolutely honest with you when she says she doesn't think she'll go back into politics."
House Democratic Leader Nancy Pelosi said a second President Clinton "would be so exciting."
Even Donald Trump has weighed in, last month calling her a "terrific woman" and predicting "she probably runs after the next four years."
Clinton has said that if Obama is reelected, she will not serve a second term in his cabinet, and on Tuesday said she feels comfortable and enjoys being able to let her hair down – or pull it back.
"I feel so relieved to be at the stage I'm at in my life right now Jill," she said. "Because you know if I want to wear my glasses I'm wearing my glasses. If I want to wear my hair back I'm pulling my hair back. You know at some point it's just not something that deserves a lot of time and attention.
"And if others want to worry about it, I let them do the worrying for a change."