Bradham, 23, was pulled over by Tonawanda, N.Y. police for a window tint violation shortly after 2 a.m. ET, the newspaper reported. Bradham admitted to having a small amount of marijuana in his vehicle and was given a ticket to appear in court.
"We are still in the process of gathering the facts surrounding this report and will reserve comment until we have completed that process," the Bills said in a statement Monday evening.
Bradham, a fourth-round draft pick in 2012, is projected to start at linebacker this season for Buffalo.