Former New York City Mayor Rudy Giuliani (R) on Tuesday said that he approves of President-elect Donald Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE not pursuing an investigation or charges related to former rival Hillary Clinton Hillary Diane Rodham ClintonButtigieg stands in as Pence for Harris's debate practice Senate GOP sees early Supreme Court vote as political booster shot Poll: 51 percent of voters want to abolish the electoral college MORE's private email server.

"There is a tradition in American politics that after you win an election, you sort of put things behind you, and if that's the decision he reached, that's perfectly consistent with the historical pattern," Giuliani, an early supporter of Trump's campaign, told reporters.

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"So if he made that decision, I would be supportive of it. I would also be supportive of continuing the investigation. I think the president-elect had a tough choice there to go either way. If he made the choice to unite the nation, I think all those people who didn't vote against him, maybe, could take another look at him," he added.

Earlier on Tuesday, former Trump campaign manager Kellyanne Conway said he will not pursue a federal probe into Clinton's actions as secretary of State.

"I think when the president-elect, who's also the head of your party, tells you before he's even inaugurated that he doesn't wish to pursue these charges, it sends a very strong message, tone and content" to other Republicans, Conway told MSNBC's "Morning Joe." "I think Hillary Clinton still has to face the fact that a majority of Americans don't find her to be honest or trustworthy," she added. "But if Donald Trump can help her heal then perhaps that's a good thing."