The U.S. should continue supplying fuel, intelligence and munitions to Saudi Arabia for its war against rebels in Yemen amid a Senate push to cut the support, the head of U.S. Central Command said Tuesday.

Senators who are sponsoring legislation to end the support have honed in on reports of civilian deaths at the hands of Saudi Arabia in the three-year-old war. But Gen. Joseph Votel told the Senate Armed Services Committee that the U.S. should keep up support so it can influence Riyadh toward limiting and investigating civilian casualties.