Bannon’s view has been amplified elsewhere on the right, with talk radio and cable news commentators speaking out more forcefully against Mueller and his expanding probe. The Wall Street Journal editorial board has called on Mueller to resign. The Journal is part of News Corp., which is led by Rupert Murdoch, a friend of Trump who speaks privately with the president.

But many people in Trump’s orbit recommend that he stay the course with cooperation — encouraging him to harshly criticize media coverage of the investigation but avoid engaging Mueller.

“I like Steve, but his advice is not always the most helpful,” said Christopher Ruddy, a Trump friend and the chief executive of Newsmax, a conservative media outlet. “In this case, whatever Steve says, the president should do the opposite.”