The only legal risk for Mr. Trump, Giuliani told CBS News' Paula Reid, is lying to investigators, which Giuliani says could only be proven by a witness or document giving an alternate version of events.
"Michael's not going to lie, he's going to tell the truth".
"We would not recommend an interview for the president unless they can satisfy us that there is some basis for this investigation", Mr. Giuliani said on NBC, a hardening of the White House's stance after months of negotiations on the terms under which the president would agree to testify.
Bolduan asked if there's any signal that Cohen is now cooperating with prosecutors.
Next, Cohen spoke about the Trump Tower meeting, which both the President and Giuliani have claimed is a non-event, hinting that Cohen knows more about the meeting than he has previously said, the source said.
Davis has already spoken publicly about the case to say he'll be helping Cohen come forward with the truth.
President Trump's lawyer Rudy Giuliani said Sunday that the president's former lawyer, Michael Cohen, "should cooperate" with prosecutors, but if he does and tells the truth, then Trump has nothing to worry about.
During an appearance on ABC's "This Week", host George Stephanopoulos asked Giuliani if Trump's legal team has decided against the president sitting down with Mueller.
A day after he tweeted "I will always protect my POTUS" in April, the FBI raided his home, office and hotel room as part of a probe by federal prosecutors in NY into his business dealings. "Long as he does that, we have nothing to fear", Giuliani said.
Michael Cohen, President Trump's longtime fixer and attorney, arrivec to a court hearing in Manhattan.
Mr. Giuliani, a former mayor of New York City, repeatedly suggested many on Mr. Mueller's team were politically motivated against Mr. Trump.
Lawyers for President Donald Trump unleashed a blistering attack on former FBI Director James Comey in a confidential memo past year to the special counsel, casting him as "Machiavellian", dishonest and "unbounded by law and regulation" as they sought to undermine the credibility of a law enforcement leader they see as a critical witness against the president.
Giuliani contended that Mueller would not be pressing to interview Trump "if they had anything" against the president, although it is not known what evidence he may have collected.
"It's our firm belief, and we think nothing contradicts this, the president did nothing wrong", he said. Cohen told Stephanopoulos in an exclusive interview last week that his "first loyalty" was to his family and country.
Cohen, in the interview, also specifically raised the point that he believes the intelligence communities over Trump.