Perkins, the Longhorns' starter at right guard, was arrested near campus and booked into Travis County Jail at 4:54 a.m. Friday, according to jail records.
According to the probable-cause affidavit, Perkins was arrested following a single-vehicle collision. Perkins was found asleep in his Dodge Challenger in the drive-thru line of a Raising Cane's restaurant near campus shortly before 3 a.m. Friday.
When a constable approached and instructed Perkins to move his car, he drove off and, about 10 seconds later, wrecked his car in a parking lot. When the constable approached the wreck, Perkins was again asleep at the wheel.
Texas coach Charlie Strong said in a statement he's still gathering facts before determining Perkins' punishment.
"We're disappointed in his actions and take a strong stance against drinking and driving," Strong said. "When you get behind the wheel after drinking, you not only risk your life, but the lives of others, and that's something you just can't do. We will make sure that Kent learns from this and handle any punishment once we have more information."
Perkins is a senior leader on the team who has started 26 of his 31 career games.
The Longhorns are on a bye week before beginning Big 12 play on Oct. 1 at Oklahoma State.