The New York Daily News reported that Giuliani also found the charges against Manafort to be unfair.
Giuliani's decision to essentially broadcast the White House's intentions came mere hours after Trump's former campaign chair, Paul Manafort, had his bail revoked by Judge Amy Berman Jackson, who ordered him to prison.
Giuliani called for Mueller to suspend his investigation after Inspector General Michael Horowitz released his highly anticipated report on Thursday.
Trump's lawyer Rudy Giuliani has echoed Stone's sentiment, repeatedly asserting today that there should be an investigation into Mueller's probe. "I don't think Mueller and his people need to be investigated - unless something comes out of that".
In an interview on Fox News, former New York Mayor Rudolph W. Giuliani said the misconduct by FBI officials such as former director James Comey and Peter Strzok is so egregious that "Mueller should suspend his investigation".
Brexiters accuse Remainers of "grossest hypocrisy" over Brexit Bill
However, despite backing down, pro-Remain Tories signalled they would not be easily consoled by a compromise offered by ministers. Brexit Secretary David Davis urged MPs to "respect the result of the referendum" that approved the withdrawal.
"Of course it's wrong to lie, it breaks one of the commandments, I think", Giuliani replied before arguing Trump's "distinction is a correct one". Strzok was a lead investigator during the inquiry into Democratic candidate Hillary Clinton's past use of a private email server, and he worked with Mueller's team investigating any potential ties between the Trump campaign and Russian Federation. The president has been warned, by both senior Democrats and Republicans, if his administration fired Mueller, it would start the groundwork for Trump's impeachment.
"We want the Mueller probe to be investigated", Giuliani said Sunday.
The president weighed in Sunday on Twitter with his opinion of the Mueller probe, again calling it a "WITCH HUNT!" and declaring that law enforcement officials had a "Double Standard!" in their investigations of him and Hillary Clinton. "The phony Russian Collusion was a made up Hoax". Picture: APLast week Mr Trump declared he thinks the Russian Federation probe is "very biased" and has reservations about being interviewed by special counsel Robert Mueller.
Appearing on "Face the Nation", Giuliani said Trump's legal team nonetheless owed it to him to "sort through" the options of how an interview with Mueller could proceed, because "the president wants to do it". Mueller is also investigating questions of whether Trump improperly sought to obstruct the probe, such as by firing James Comey as Federal Bureau of Investigation director, and if Trump refuses an interview, Mueller could resort to a subpoena to compel testimony.
The inspector general's report said it would continue investigating FBI officials who received tickets to sporting games and other things of value from reporters.