Washington will deploy about 200 additional troops, mostly as advisers, as Iraqi soldiers advance towards Mosul.
The cuts would reduce the active-duty Army from about 490,000 soldiers to about 450,000.
The soldiers will be tasked with the responsibility of training, advising and assisting Iraqi Security Forces.
U.S. Army paratroopers from the 173rd Airborne Brigade have begun training the Ukrainian National Guard.
His administration is fighting to keep 2,000-plus images from the public.