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Fox News host Bill O'Reilly said picking New Mexico Gov. Susana Martinez as his running mate would give Donald Trump the best shot at winning the White House. | AP Photo O'Reilly puts a name on Trump's VP short list

If Donald Trump wants to be the next president of the United States, he has one choice and one choice only for his running mate, according to Bill O'Reilly: New Mexico Gov. Susana Martinez.

“There’s only one choice for vice president if Donald Trump wants to win the White House. Only one person. Do you know who that is?" the Fox News host asked former White House press secretary and current colleague Dana Perino during a segment on his Thursday night show.

O'Reilly dropped the name: "Gov. Susana Martinez of New Mexico."

"That is the only choice if Mr. Trump, with all due respect, wants to be president, he must give it to the governor of New Mexico," O'Reilly said, adding that the chair of the Republican Governors Association "cuts across all ethnic boundaries that he’s weak in, she’s very bright, she is a Republican conservative in a state that would go, you know, it’s not a lot of electoral votes, but if he can persuade Gov. Martinez to be on the second, that will help him immensely.”

Perino, who had suggested a "conservative Westerner of some sort," did not seem sold.

“It’s not a bad one," she said. "I don’t know if it’s a good fit.”

Martinez, however, endorsed Florida Sen. Marco Rubio less than two weeks before the end of his campaign, suggesting in the same week that she would not commit to vote for Trump as the GOP nominee. She also supports comprehensive immigration reform, a position wildly at odds with Trump's call to revoke birthright citizenship, deport millions of undocumented immigrants, and build a wall along the Mexican border.

Speaking at a dinner for New York Republicans last Thursday, Martinez struggled to grab attention, and on Monday canceled her speech for North Carolina's GOP convention in May. Martinez's spokesman cited a "scheduling conflict" as the reason for the cancellation, rejecting the idea that it had anything to do with the state's recent controversial law banning transgender people from using the bathrooms or locker rooms that do not match their assigned gender at birth.