A former U.S. ambassador to the United Nations said on Tuesday he'd be willing to meet with Donald Trump to discuss becoming secretary of state.

As conservative radio host Hugh Hewitt has pushed the Republican presidential nominee to name his Cabinet members sooner rather than later, Trump has indicated that John Bolton is on his short list.

"I would," Bolton told Hewitt on Tuesday morning when asked if he would be open to the role. "You know, you've got to talk to somebody about a job like that. It's not just enough to take a position so you can put it on your resume.

"You have to understand exactly what your role would be and so on, and I think that's a conversation any responsible person would have," Bolton added. "Obviously, you'd take it very, very seriously."

Bolton, who advised Mitt Romney's 2012 presidential campaign, has been one of the few former George W. Bush administration officials to publicly support Trump.

"I am going to vote for Donald Trump. And I think that's something that a lot of our friends around the country still need to come to grips with," Bolton said. "You know, the Republican field for the nomination had 17 candidates, which means there are supporters out there of 16 disappointed candidates.

"But compared to the prospect of four years of Hillary and Bill back in the White House, or even worse, eight years, really, I hope everybody just thinks about that a little bit more."