Rudy Giuliani says on ABC's "This Week" Sunday that they have no worries about Michael Cohen "as long as he tells the truth".
Federal agents searched Cohen's home and office in April, and speculation has since mounted that he might turn on Trump and provide evidence to federal officials that could implicate the president or his campaign.
Giuliani's television appearances come on the heels of an admission earlier this week to ABC's George Stephanopoulos by Cohen - who once boasted he would "take a bullet" for Trump - that he is putting "family and country first" and protecting the president is not his priority.
Davis did not get into the specifics of what Giuliani said, but he appears to contradict the former New York City mayor's claim that Cohen telling the truth would not have any negative impact on President Trump.
"It's our, it's our firm belief, and we think nothing contradicts this, that the president did nothing wrong", Giuliani said.
Cohen has not been charged with any crimes but is now under federal investigation in the Southern District of NY for possible bank fraud.
"I don't know what he has to flip over", Giuliani said.
Cohen has scrubbed a reference of his long-time representation of Trump from professional credentials, saying recently, "My wife, my daughter and my son have my first loyalty and always will", not the president. "What I do know is, there's no evidence of wrongdoing with President Trump".
As Trump continues to assert his willingness to speak with Mueller, his words are increasingly being undermined by his own legal team and one of its newer additions, Rudolph W. Giuliani. "Or is there a factual basis for this?"
"If he wants to cooperate, I think it's great", Giuliani said.
Giuliani, the top lawyer on Trump's legal team, told Fox News on Saturday he is asking Mueller for a "factual basis for the investigation" before the team considers allowing Trump to be interviewed by Mueller's team. Cohen told the New York Times he paid adult actress Stormy Daniels $130,000 out of his personal account to keep her from revealing details of her alleged affair with the president.
Trump and his advisers have hammered at the notion that several members of Mueller's team are affiliated with the Democratic Party and can not be objective.
Trump has said he does not see Cohen turning against him.