Joe Biden is famous for his gaffes and verbal slipups. And he may be rubbing off on his wife, Jill.

The gorgeous Dr. Jill Biden let it slip on "The Oprah Winfrey Show" Monday that her hubby actually had the choice to be either Barack Obama’s running mate or secretary of state.

She said, "Joe had the choice to be secretary of state or vice president," a remark that drew a murmur from the crowd. The former senator from Delaware then turned to his wife with his finger to his lips and offered a joking, "Shhhh!" "OK, he did," Jill responded. We’re sure the actual secretary-of-state pick, Hillary Clinton, was none too pleased after watching yesterday’s episode.

Good ole’ Joe apparently decided that he’d rather spend time with his family than jet around the world as the nation’s top diplomat. And Jill agreed.

"I said, ‘Joe, if you are secretary of state, you will be away. I’ll never see you,’" Jill Biden said. "’We will see you at a state dinner once in a while.’ But I said, ‘If you are vice president, the entire family, because they worked so hard for the election, they can be involved … They can come to our home, they can go to events, they can be with us,’ and that is what is important to us."

But apparently Obama’s people didn’t think it was too funny.

"To be clear, President-elect Obama offered Vice President-elect Biden one job only — to be his running mate," a statement from Biden’s spokeswoman said. "And the vice president-elect was thrilled to accept the offer."