Williams was pulled over July 14 in Fayetteville, Arkansas, after he was seen weaving on the road. He declined to give a breath sample on advice from his agent and told officers that he had one beer earlier that night.
According to the police report, Williams had watery eyes, slurred speech and had a "strong odor of intoxicants" and "swaying balance" during standard field sobriety tests.
He was later charged with driving while intoxicated and violation of implied consent law.
Williams, 23, did not participate in Bills practice Thursday to appear in court. A 2016 fifth-round pick from the University of Arkansas, Williams gained 94 yards on 27 carries last season for the Bills.