During a 2016 campaign rally, Trump disparaged staffers of his Democratic opponent, Hillary Clinton, for taking the Fifth during a congressional investigation into Clinton's use of a private email server when she was secretary of state.
Trump reiterated last week he would "love to" sit and answer Mueller's questions.
"This was for another goal, to protect him, to protect his family", he said.
Giuliani said he would strongly advise against such an in-person encounter, however. "If I were him, and I were the president's lawyer, and I had done this in the past, and it had worked out in the past, I would not go to him and bother him two weeks before the election with this thing".
Conway said she was unaware of any other payments similar to the one made in the Daniels matter, but acknowledged that she had less knowledge of any potential arrangements than former New York City Mayor Rudy Giuliani.
Giuliani's statement to Fox News' Sean Hannity contradicted Trump, who previously denied knowledge of the payment.
The interview came on the heels of quite an interesting week for the former mayor of NY.
Trump, however, said there should be no confusion.
The following is a transcript of the interview with Daniels' attorney Michael Avenatti that aired Sunday, May 6, 2018, on "Face the Nation". "I imply, what we witnessed by Rudy Giuliani could also be one of many worst TV appearances by any legal professional on behalf of a shopper in trendy instances". "But I would think if it was necessary, yes". Stephanopoulos asked, pressing the Giuliani on Trump's astonishing claim last month that he didn't know the source of the payment to Daniels, months after the story broke. He interjected and asked Ms Daniels: "What do you need for all this to just go away?" Giuliani said he's trying to convince Trump of the risks of testifying for Mueller.
Trump's campaign and presidency have been marked by his regular assertion of demonstrably untrue statements as fact.
He said that it's clear to the American people, "what's going on and it's a cover up". "They don't know what to say because they have lost track of the truth".
In her previous lawsuit, the adult star is asking whether the hush agreement was legal and is looking at whether President Trump consented to it.
Giuliani, in the ABC interview, posited that Trump's comments to the news media, and by extension to the public, were irrelevant to the legalities of the case.
"Sorry, I know you don't believe in Climate Change, but a storm's a-comin' baby", Daniels told him, to end the sketch. "I cannot consider that really simply occurred", Avenatti stated.