Sen. Mike Lee Michael (Mike) Shumway LeeMcConnell shores up GOP support for coronavirus package McConnell tries to unify GOP Davis: The Hall of Shame for GOP senators who remain silent on Donald Trump MORE (R-Utah) is opening the door to a potential nomination from President-elect Donald Trump Donald John TrumpBarr criticizes DOJ in speech declaring all agency power 'is invested in the attorney general' Military leaders asked about using heat ray on protesters outside White House: report Powell warns failure to reach COVID-19 deal could 'scar and damage' economy MORE to serve on the Supreme Court.

"If he asked me that question, I would not say no," he said when asked about a potential nomination during a radio interview Thursday on "The Doug Wright Show."

But Lee said he was "very grateful" to have won reelection to the Senate in November.

Trump has released 21 names as potential picks to fill the late Justice Antonin Scalia's seat. Though Scalia died nearly a year ago, the seat has remained vacant because Senate Republicans refused to give Merrick Garland, President Obama's nominee, a hearing or a vote.

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Lee noted that because he isn't a judge, "one could easily conclude that I'm less likely to be chosen" for the lifetime position.

"The shortlist is 21 people long," he said. "Presidents these days do very much tend to prefer putting a sitting jurist on the Supreme Court."

Lee's brother, Utah Supreme Court Associate Chief Justice Tom Lee, is also on Trump's list. The Utah Republican said he would "arguably be the best choice" for the Supreme Court seat.

Whoever Trump picks will need 60 votes, including the support of at least eight Democrats, to clear the Senate.

Lee and Trump met last month and discussed the Supreme Court, as well as repealing and replacing ObamaCare.