TAMPA, Fla. — The U.S. and Iraq have begun preparations for an assault by summer to retake Mosul, selecting and training military units and cutting supply lines to Islamic State militants who control Iraq’s second-largest city, the top American commander in the Middle East said.

Gen. Lloyd Austin, the head of the military’s Central Command, told The Wall Street Journal that the international campaign against Islamic State has inflicted significant damage. Opposing forces have reclaimed about 300 square miles of territory in Iraq and killed some 6,000 members of the Sunni radical group, eliminating about half its leadership.