Mark Daniels of the Providence Journal reported Wednesday a Tennessee Highway Patrol trooper is said to have found an unnamed substance, paraphernalia and prescription drugs in Johnson's vehicle after pulling him over.
Williams faces charges of speeding, possession of a controlled substance, possession of drugs without a prescription and possession of drug paraphernalia.
The 22-year-old defensive back is a Nashville native who attended Vanderbilt University in the city.
He was named second-team All-SEC for the Commodores in 2018, and the Patriots proceeded to select him in the second round of the 2019 NFL draft.
Williams made a limited impact as a rookie within the Pats' top-ranked defense. He recorded five total tackles and one pass defended across nine appearances (no starts).
He's the second New England player arrested since the team's season ended with a wild-card round playoff loss to the Tennessee Titans. Wide receiver Julian Edelman was arrested and cited for misdemeanor vandalism Jan. 11 in California after allegedly jumping on the hood of a car.