Washington (CNN) President Donald Trump's lawyer Rudy Giuliani suggested on Friday that President Donald Trump will not pardon anyone involved in the Russia investigation while the probe is ongoing, but emphasized that the President will not "give up his right to pardon" either.

"Let me make it clear right now, anybody listening, he is not going to pardon anybody in this investigation, but he is not obviously going to give up his right to pardon if a miscarriage of justice is presented to him after the investigation," Giuliani told CNN's Chris Cuomo on "Cuomo Prime Time."

The former New York mayor's comments to CNN came after the New York Daily News reported earlier in the day that Giuliani had said special counsel Robert Mueller's Russia investigation might be "cleaned up" as a result of presidential pardons.

Giuliani told Cuomo, however, that he has advised Trump "no pardons." "It would completely change the momentum we have right now," he said. "I didn't suggest it. I said he shouldn't pardon anybody."

Speculation that the President could pardon individuals connected to the Russia investigation has intensified as the probe has moved forward.

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