Trump ignored the rumors as he left the White House, but teased reporters with an important announcement about the future of his Joint Chiefs of Staff. Kelly is a retired four-star General.
If confirmed by the Senate, Milley would succeed Marine Gen. Joseph Dunford to be chairman of the Joint Chiefs of Staff.
President Trump has named Army head Gen. Mark Milley as the next chairman of the Joint Chiefs of Staff.
Princeton-educated Milley, 60, has served four decades in the Army, including command positions in Iraq and Afghanistan.
Speaking to reporters on Friday, Trump hinted an announcement related to the Joint Chiefs of Staff was forthcoming as he unveiled other picks - William Barr for attorney general and Heather Nauert for United Nations ambassador.
President Donald Trump has indicated he will make an announcement at Saturday's Army-Navy game and no one in the Pentagon seems to have the foggiest idea what he is talking about.
Jose Mourinho won't turn to £52million Fred until Manchester United can defend
Dalot impressed on his first Premier League start in the 2-2 draw with Arsenal and is hopeful of keeping his place against Fulham on Saturday.
Milley will be the first Chairman of the Joint Chiefs of Staff to serve a single 4-year term.
The Joint Chiefs of Staff serve as the executive branch's top military advisers.
Mr. Trump re-nominated him in 2017 for a second term.
He also served as deputy commanding general of USA forces in Afghanistan.
Dunford was nominated to the post in 2015 by former President Barack Obama.
The general became chief of staff of the Army in 2015 after serving at the commander of Army Forces in Fort Bragg, North Carolina.