The VP-elect’s statement, in a Fox News interview, comes after President-elect Donald Trump met Mitt Romney, a Republican who criticized him during the campaign.
There has been speculation that the post of secretary of state was discussed.
Neither man gave details of their meeting on November 20. Mitt Romney said talks had been “far-reaching”.
Mitt Romney, who ran an unsuccessful campaign against Barack Obama in 2012, met Donald Trump at the president-elect’s golf course in Bedminster, New Jersey.
Mike Pence told the Fox News Sunday: “It was a warm and a substantive exchange and I know he is under active consideration to be secretary of state (…) along with some other distinguished Americans.”
In March, during the Republican primary race, Mitt Romney said Donald Trump had neither “the temperament nor the judgement to be president”, accusing him of bullying, misogyny and dishonesty.
“Prospects for a safe and prosperous future are greatly diminished” if Donald Trump became the nominee, Mitt Romney said.
Donald Trump responded by mocking Mitt Romney, calling him a “failed candidate” and a “choke artist”.
However, media have suggested that the role of secretary of state could be up for grabs. In the past, Mitt Romney has taken a far more critical line on Russia than that suggested by Donald Trump.
Donald Trump has settled several posts so far, a number of them controversial.
Mike Pence was asked about the way he was treated when attending a performance of the Broadway musical Hamilton on November 18.
The audience booed Mike Pence and a cast member read out a letter saying “diverse America” was “alarmed and anxious” at the future administration.
Mike Pence told Fox News Sunday that he was relaxed about it and had said to his daughter during the incident: “That’s what freedom sounds like.”
Hamilton won the 2016 Pulitzer Prize for Drama, along with 11 Tony awards for live theater. Tickets to the show are the most coveted on Broadway, sometimes changing hands for thousands of dollars.
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