The crash happened around 11:45 p.m. Thursday on the northbound feeder approaching Little York.
Officials said the deputies were trying to stop a driver in a black Chevy Camaro for speeding on the Eastex Freeway.
Instead of pulling over, deputies said the suspect got off the freeway and made a quick U-turn at the underpass at West Little York.
Deputies said the patrol car attempted to make the same U-turn but crashed into a concrete pillar.
Officials said neither of the deputies inside the patrol car were badly hurt.
The suspect was able to get away.