Condoleezza Rice
Former Secretary of State Condoleezza Rice said Herman Cain shouldn't "play the race card" in responding to sexual harassment allegations. Reuters

Former Secretary of State Condoleezza Rice says being Mitt Romney's running mate is not her ambition, and it's just not going to happen.

Rice revealed she wasn't interested in being a vice presidential candidate when she spoke on CBS This Morning on Tuesday.

I didn't run for student council president. I don't see myself in any way in elective office, she said. I love policy. I'm not particularly fond of politics. Gov. Romney is going to make a great choice for vice president. He's got terrific judgment.

Asked if she would turn down Romney if he called her for the position, Rice added, I am saying there is no way that I will do this because it's really not me.

There are many people who will do it very, very well and I will support the ticket, she said. That's a 'It's not going to happen' and 'No.'

Rice was back in the political spotlight Monday, when she headlined a fundraiser in the nations' capital. The event was to raise money for Republican female politicians.

Rice is currently a professor at Stanford University in California.