Marc Kasowitz reportedly told presidential aides who have asked him whether they should consider hiring private legal help to hold off for now.
The Times also reported that Kasowitz has advised aides to avoid talking about the probe into alleged ties between the Trump campaign and Russian election meddling.
A spokesman for Kasowitz said the Times’s characterizations of his conversations with aides were “inaccurate,” but did not specify how to the paper.
The report comes after former FBI Director James Comey claimed Trump had asked him to let the investigation into ousted national security adviser Michael Flynn go during his testimony before the Senate Intelligence Committee.
Kasowitz issued a statement after Comey’s testimony accusing him of lying under oath and suggesting he should be investigated for leaking information from memos Comey wrote about his private conversations with the president.
Trump said on Friday that he would be “100 percent” willing to testify under oath to special counsel Robert Mueller, who was tapped to lead the investigation into Russian election meddling.