Donald Trump’s new attorney, Rudy Giuliani, would not on Sunday rule out the possibility that the president would assert his fifth amendment right against self-incrimination in the Russia investigation.

The former New York City mayor and US attorney, during a Sunday interview on ABC’s "This Week" programme, said he is concerned about the possibility of Trump being prosecuted "for perjury like Martha Stewart".

US president, Donald Trump has expressed openness to an interview with the special counsel Robert Mueller, who is investigating Russian election interference and alleged links between Trump aides and Moscow. Giuliani said he would strongly advise Trump against an interview with Mueller.

Giuliani suggested Trump would not necessarily comply with any subpoena from Mueller, but nor would he rule out the possibility of an interview.

Giuliani added:  "He’s the president of the United States.  We can assert the same privileges other presidents have."

At a 2016 campaign rally, Trump disparaged staffers of his Democratic opponent, Hillary Clinton, for taking the fifth amendment during a congressional investigation into Clinton’s use of a private email server.

“The mob takes the fifth amendment,” Trump said. “If you’re innocent, why are you taking the fifth amendment?”