Washington (CNN) President Donald Trump's legal team demanded that before the President agrees to an interview, the special counsel's team must prove it has evidence of Trump committing a crime and that it needs testimony from the President to conclude its probe, The New York Times reported Friday.

According to the Times, Trump's legal team set its new conditions on Friday with the special counsel team led by former FBI Director Robert Mueller. The demands mark further reason to believe the President will not submit voluntarily to an interview with the special counsel.

The Times account painted a picture of Trump's legal team as increasingly willing to combat the Mueller investigation while seeking to influence public opinion.

Rudy Giuliani told the Times that Mueller probably would not agree to these conditions. He conceded it was still possible the President would agree to an interview and continued to question the objectivity of the investigators.

"If they can come to us and show us the basis and that it's legitimate and that they have uncovered something, we can go from there and assess their objectivity," Giuliani said.

Read More