Utah Sen. Mike Lee on Friday rejected Donald Trump's Supreme Court nomination proposal, saying he already has the job he wants, Politico reported.

"Sen. Lee already has the job he wants which is why he is campaigning to represent the great people of Utah again this year," Lee's spokesman Conn Carroll told Politico in a statement.

Trump has proposed a new list of potential Supreme Court nominees which he would consider if elected president, according to NBC News.

Donald Trump will release an expanded list of potential SCOTUS picks later today, @chucktodd reports—here are the new additions: pic.twitter.com/P7TdYwUYSb — Alexandra Jaffe (@ajjaffe) September 23, 2016

Lee, who has been critical of Trump and not endorsed him yet, said in May that the Republican nominee "scares me to death," according to The Hill.

However, he has not been backing the Democratic nominee Hillary Clinton either.

Lee, who serves on the Senate Judiciary Committee and was an assistant U.S. attorney in Utah, earlier in June, called on Trump to adopt a "constitutional agenda" to prove he'll be a conservative in the White House.

Judicial Crisis Network Director Carrie Severino lauded Trump for his decision. "Donald Trump continues to take unprecedented steps to demonstrate that he intends to appoint justices like Scalia, Thomas and Alito," said Severino.

"Conservatives should be very pleased by the steps he has taken, and if he lives up to his promises we will have a Court that truly puts the rule of law ahead of political preferences."