About half of Iraq’s army is incapable of partnering effectively with the U.S. to roll back the Islamic State group’s territorial gains in western and northern Iraq, and the other half needs to be partially rebuilt with U.S. training and additional equipment, the top U.S. military officer said Wednesday.

Gen. Martin Dempsey, chairman of the Joint Chiefs of Staff and a former wartime commander of U.S. training programs in Iraq, said a renewed U.S. training effort might revive the issue of gaining legal immunity from Iraqi prosecution for those U.S. troops who are training the Iraqis. The previous Iraqi government refused to grant immunity for U.S. troops who might have remained as trainers after the U.S. military mission ended in December 2011.

“There will likely be a discussion with the new Iraqi government, as there was with the last one, about whether we need to have” Iraqi lawmakers approve new U.S. training, he said. He didn’t describe the full extent of such training but said it would be limited and he believed Iraq would endorse it. […]