WASHINGTON — The chairman of the White House Council of Economic Advisers, Kevin A. Hassett, will depart “shortly,” President Trump said on Sunday, winnowing another advocate of traditional conservative positions on trade from the ranks of Mr. Trump’s advisers.

Mr. Hassett had not publicly telegraphed an intention to leave, but he said in an interview on Sunday night that he had discussed the move with the president last week and that it was not related to trade policy or any other contentious issue in the White House.

“It’s just normal, circle-of-life kind of things,” Mr. Hassett said. “It has nothing to do with any policy disagreements. The president and I are quite friendly.”

He said two years was historically the normal tenure for a chairman of the council, and “really an important part of the institution.”