New Mexico Gov. Susana Martinez has joined the list of politicians named as potential vice presidential candidates,  but who say they’re not interested in the job.

Former Massachusetts Gov. Mitt Romney dropped the first-term Republican governor's name Friday during an interview on Fox News, where he also mentioned the governors of New Jersey, Louisiana and South Carolina as possible running mates.

The Santa Fe New Mexican reports that Martinez spokesman Scott Darnell quashed the talk. He issued a statement saying Martinez has no interest in serving as vice president.

Romney and Martinez have attended a few events together.

The former Las Cruces district attorney is starting her second year in office and is in the midst of a 30-day legislative session.

During an exclusive interview with ABC-7's New Mexico Mobile Newsroom last week, Martinez assured that her focus is on Sante Fe.

"I have no intentions of doing anything different other than being governor," Martinez told ABC-7. "My focus is right here in New Mexico, and I'm going to complete this job."

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Governor Nikki Haley of South Carolina, who has endorsed Romney, recently said she would not want to be on the presidential ticket.

"No," she said to reporters last week in answer to whether she would accept a request by Romney to be on the ticket. "I love being governor of South Carolina. "I'm doing this for my country but I'm doing it mainly for South Carolina."

"The hardest part of my job has been President Obama,” she said. “I desperately need a partner in the White House. I don't want a cabinet position. I don't want to be VP. I want to be a good governor for South Carolina. I can't do it unless I get President Obama out."

U.S. Sen. Marco Rubio, Florida Republican, has indicated he is not seeking the vice presidential slot, though his name is still mentioned by political observers one of the most likely to be considered.

Rubio has refused to officially endorse any of the remaining GOP candidates thus far. Both Romney and former House Speaker Newt Gingrich have hired former Rubio Senate campaign officials in their effort to master Florida’s political landscape, particularly Hispanic voters.

New Jersey Gov. Chris Christie said Sunday that he would consider being Mitt Romney’s vice presidential running mate if Romney asked him, but said he remained skeptical that he would ever be on the ticket.

“I absolutely believe that, come November 2012, I’m going to be governor of New Jersey and not in any other office,” Christie said on NBC’s “Meet the Press.” “But the fact of the matter is, if Gov. Romney, who’s going to be our nominee, picked up the phone and called me to talk about this, I love my country enough and I love my party enough to listen.”

This story contains material from The Associated Press.

Follow Elizabeth Llorente on Twitter: @Liz_Llorente

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