Sen. Lindsey Graham Lindsey Olin GrahamSenate Republicans face tough decision on replacing Ginsburg Democratic senator calls for eliminating filibuster, expanding Supreme Court if GOP fills vacancy What Senate Republicans have said about election-year Supreme Court vacancies MORE (R-S.C.) said on Sunday that President Trump crossed a line when he publicly pressured the Department of Justice to investigate Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE.

"That's just not the way we do it in America," Graham told Chris Wallace on "Fox News Sunday."

"The president of the United States is in charge of the executive branch, it's not his job to be telling the attorney general to be prosecuting a particular individual or group. It is the attorney general's job to do that independent," he continued.

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"We have a rule of law that is independent of political influence, and when you call on your attorney general to prosecute your former opponent, that is crossing the line," he said.

Graham's comments come days after Trump urged the Justice Department to investigate Clinton and her Democratic allies.

“I’m really not involved with the Justice Department. I’d like to let it run itself, but honestly, they should be looking at the Democrats," Trump told reporters outside of the White House on Friday.

“They should be looking at Podesta and all of that dishonesty, they should be looking at a lot of things, and a lot of people are disappointed in the Justice Department, including me,” he continued, referencing John Podesta, former chairman of Clinton's campaign.

Trump also voiced his call to the Justice Department on Twitter.

....People are angry. At some point the Justice Department, and the FBI, must do what is right and proper. The American public deserves it! — Donald J. Trump (@realDonaldTrump) November 3, 2017

Trump was referring to recent revelations in former Democratic National Committee (DNC) interim chairwoman Donna Brazile's memoir, which claim Clinton took part in a deal with the DNC to slant the primary in her favor.