The Times newspaper quoted several US officials who had direct knowledge of the call that would have occurred at the end of last year.
Trump asked Whitaker to head the Department of Justice in November after firing Attorney General Jeff Sessions, whom he regularly criticized for being challenged from the investigation over Russia.
Trump also criticized Whitaker, according to Times, who said it was "not clear" what Whitaker had done after the call. The Times said there was no evidence that Whitaker had taken steps to intervene in the investigation that Trump had requested, although the report says he said he Ministry of Justice staff that prosecutors needed "adult supervision".
Kerri Kupec, Justice Department spokesman Whitaker, told the Judiciary Committee of the House earlier this month: "The White House has not at any time asked for or given any promises or promises. commitments regarding the investigation of the special advocate or any other investigation ". Mr. Whitaker stands by his testimony, "she said, when members of the Judiciary Committee of the House insisted directly on any conversation with the President regarding the Southern District Inquiry. from New York, Whitaker refused to answer.
Trump Tuesday denied a question from a reporter asking him if he had questioned Whitaker about a case of recusation in the case.
"No, I do not know who gave you that," Trump said.
Trump praised Whitaker as a "very, very straight shooter" and said he had "a lot of respect" for him. "
The President also praised Whitaker's performance at the House Judiciary Committee hearing held earlier this month, calling it "outstanding."
"He should receive a lot of thanks from our nation," said Trump.
CNN's Jessica Schneider, Betsy Klein, Laura Jarrett and Pamela Brown contributed to this report.