Quayle glad Bush didn't tap Trump for VP
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Dan Quayle says he's glad President George H.W. Bush picked him to be his vice president instead of Donald TrumpDonald John TrumpTrump calls for Republicans to be 'united' on abortion Tlaib calls on Amash to join impeachment resolution Facebook temporarily suspended conservative commentator Candace Owens MORE

Quayle discussed how Trump let Bush's camp know that he was interested in becoming the vice president in the 1988 campaign, during an interview with host John Catsimatidis on "The Cats Roundtable" on AM 970 in New York.

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Quayle said the story showed Trump's political ambitions aren't going away.

"He's been interested in office for a long time," Quayle said. "Way back in 1988 he let my boss, George H.W. Bush, know that he would be interested in being vice president.

"I'm glad he didn't select Donald Trump and I'm glad he selected me," he continued. "But that goes back many years when Donald Trump was thinking about serving in public office."

Quayle said Trump could win the 2016 GOP nomination, but noted early front-runners historically fade come voting time. 

"This is not something that he's recently come up with," Quayle said. "He's been thinking of this for a long time. And I think Republicans and others got to realize that he is going to be there for a long time and he could possibly be the nominee. I don't know."

In a recent biography of George H.W. Bush, Jon Meacham wrote that Trump let Bush aide Lee Atwater know he was available for the post. Bush thought the offer was "strange and unbelievable."

During an interview last month, Trump remembered the encounter differently, claiming Atwater raised the subject with him.

"I said I don’t know, Lee, you can check it out if you want, but it doesn’t sound right, because at that time, I had no political aspirations," Trump told ABC last month. "

Quayle said the GOP primary field is too big at the moment. He predicted only a few candidates will remain past March, when the real horserace begins.

"The race has got to narrow," he said. "The sooner the better."