It was "gracious of Romney" to see Trump, Conway said, referring to Saturday's meeting between the last two GOP presidential nominees. Romney, an ex-governor of Massachusetts and co-founder of Bain Capital, lost the 2012 election to President Barack Obama.
Calling Trump and Romney both "job creators," Conway said she understood that Romney traveled from Hawaii to sit down with Trump at Trump National Golf Club in Bedminster, New Jersey, on Saturday.
Romney is under consideration for secretary of state, along with Trump loyalist and ex-New York Mayor Rudy Giuliani.
Asked if Romney wants the job, Conway said: "You have to ask Governor Romney if he wants it."
"We have a long, shortlist for secretary of state," she continued. "You've heard [about] Sen.Bob Corker from Tennessee … [and ] Mayor Giuliani is very strong considered for that position."
Corker told "Squawk Box" last week he's "in the mix."
Formerly Trump's campaign manager, Conway said the transition can't be rushed, because there's a "very long short list" for each position in the president-elect's Cabinet and other key roles.
Conway said she's not sure if Trump has spoken to JPMorgan chief Jamie Dimon, who's name surfaced in speculation about whether he's being considered for treasury secretary.
But former Trump campaign finance chief and ex-investment banker Steven Mnuchin and Texas Rep. Jeb Hensarling, chairman of the House Financial Services Committee, are also on the short list to lead the Treasury Department, she confirmed.
Trump has met with Mnuchin and Hensarling, Conway said. "Those two names alone ... shows you how diverse even the backgrounds and the experiences and the individuals are being interviewed."