Charlie Crist is running as an independent against Rubio.

In an interview with Fox News' Neil Cavuto, Rubio said the international coverage was flattering, but his main focus is on Florida.

"The only thing I win is the privilege to serve the state of Florida in the Senate," Rubio said.

Should Rubio win as expected, there are already murmurs that he could potentially be a running mate or even a presidential candidate in 2012. However, Rubio was quick to dismiss these in his interview, calling it "part of the game of politics."

"Politics is full of one-hit wonders," he said. "[Being vice president] is not in our future."

As a Latino in a party desperate for Latino voters, Rubio said the important issues for Latinos are also universal issues.

"The most important Latino issue is economic empowerment," he said, adding that the free enterprise system is the only one in the world capable of doing this. :Big government hurts the people trying to make it."

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Follow her on Twitter: @susanfromtx.