Add Sen. Lamar AlexanderAndrew (Lamar) Lamar AlexanderGorsuch has dinner at GOP senator’s home Senate moderates see influence grow after shutdown fight Senator using 'talking stick' breaks Collins' glass elephant during shutdown talks: reports MORE (R-Tenn.) to the bipartisan list of skeptics who don't think real estate Donald TrumpDonald John TrumpTrump: If there's no wall, there's no DACA fix Trump appears to call out Samsung over missing FBI text messages Trump Commerce pick told lawmakers he would look at reversing Obama move on internet oversight: report MORE has a chance of winning the 2012 Republican nomination for president, much less the presidency.

Speaking on CNN's "State of the Union" with Candy Crowley on Sunday, Alexander said in response to a question about a recent poll that had Trump leading a group of potential Republican presidential hopefuls that Trump would not be president.

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"I mean, he's famous for being famous. He may be good in business but he's not going to be president," Alexander said.

Alexander said that there were only a few people who could actually win the presidency, and Trump definitely isn't one of them.

"So, [former Republican Minnesota Gov.] Tim Pawlenty has a much better chance than Donald Trump of being the Republican nominee," Alexander said.

Trump has recently been testing the waters for running for the presidency in 2012. On Monday a top business adviser for Trump will head to Iowa to meet with Republican legislators and activists.

Last week Trump said if he decide to enter the presidential race he would wage a strong campaign in Iowa, a key battleground state. He also said that he plans to visit Iowa soon while he considers running for president.