Former National Security Adviser Michael Flynn's team of lawyers will no longer be working with Trump's defense team during special counsel Robert Mueller's investigation into Russian meddling.
Former FBI Director James Comey testified before Congress in June that Trump asked him to end the bureau's investigation into Flynn's conversations with Kislyak they day after Flynn's resignation, telling him, "I hope you can let this go".
The Times story, which cited four anonymous sources, reported that the president's attorneys have been bracing for Flynn to be indicted in recent weeks.
Lawyers for Mr. Flynn and Mr. Trump declined to comment.
Jay Sekulow, a member of Trump's legal team, said that the decision to no longer share information "is not entirely unexpected" and shouldn't be seen as an indication of cooperation. Information sharing may also be abandoned, for example, when a lawyer is attempting to negotiate with prosecutors, but those negotiations aren't always successful. But, according to the Times, it signals that Flynn is at least discussing the option with prosecutors.
Mueller's rapidly progressing probe has already landed indictments against former Trump campaign chairman Paul Manafort and his deputy Rick Gates.
Interviews conducted by special counsel investigators have included questions about the business dealings of Flynn and his son such as their firm's reporting of income from work overseas, two witnesses interviewed by the team previously told CNN.
Among the interactions that Mr. Mueller is investigating is a private meeting that Mr. Flynn had with the Russian ambassador and Jared Kushner, the president's son-in-law, during the presidential transition.
Terminating the information-sharing agreement is not in itself a sign that Flynn is working with Robert Mueller, the special counsel leading the investigation into possible collusion between the Trump campaign and Russian Federation.