Mr. Kushner, frustrated about the security clearance issue and concerned that Mr. Kelly has targeted him personally with the directive, has told colleagues at the White House that he is reluctant to give up his high-level access, the officials said. In the talks, the officials say, Mr. Kushner has insisted that he maintain his current level of access, including the ability to review the daily intelligence briefing when he sees fit.

But Mr. Kelly, who has been privately dismissive of Mr. Kushner since taking the post of chief of staff but has rarely taken him on directly, has made no guarantees, saying only that the president’s son-in-law will still have all the access he needs to do his job under the new system…

Mr. Kushner and Ms. Trump have been critical of Mr. Kelly in conversations with the president, who spent the weekend at his Mar-a-Lago resort in Palm Beach, Fla., surveying people about whether he should fire his chief of staff. However, since Mr. Porter’s departure, one official said, Mr. Kushner and Ms. Trump have told people around the White House that they have been vocal in their attempts to defend Mr. Kelly but are being treated unfairly in return.