WASHINGTON — Lt. Gen. H. R. McMaster, President Trump’s new national security adviser, is considering a reorganization of the White House foreign policy team that would give him control of Homeland Security and guarantee full access to the military and intelligence agencies.

Just days after arriving at the White House, Mr. McMaster is weighing changes to an organization chart that generated consternation when it was issued last month.

One proposal under discussion would restore the director of national intelligence and the chairman of the Joint Chiefs of Staff to full membership in a cabinet-level committee, according to two officials who discussed internal deliberations on the condition of anonymity.

Another likely change would reincorporate the Homeland Security Council under the National Security Council, the way it was during the administration of President Barack Obama, the officials said. The decision to separate the Homeland Security staff, they said, was primarily a way to diminish the power of Mr. McMaster’s predecessor, Michael T. Flynn, who resigned last week. Now that Mr. Flynn is out and Mr. McMaster is in, both councils may report to him.