The officer was responding to the pursuit around 7:45 p.m. on westbound state Highway 4 near Franklin Canyon Golf Course in unincorporated Contra Costa County, Cross said.
The vehicle flipped and ended up about 30 feet off the highway, according to Cross.
The driver suffered a head injury and had minor surgery at a local hospital overnight. Cross said he could be released as soon as today.
"He's doing pretty well, he's very lucky," Cross said.
The officer suffered a head injury, and investigators credit a seat belt for saving his life.
The incident caused authorities to shut down all lanes of westbound Highway 4 in the area for several hours overnight.
The CHP issued a Sig-alert around 8:30 p.m. Wednesday, diverting all traffic from the highway onto Cummings Skyway and then to Interstate Highway 80, CHP Officer Marc Johnston said.
The Sig-alert was finally canceled at about 4:15 a.m. today when the roadway was reopened, according to Johnston.
Officers captured the suspect nearby. The CHP revealed today that man was driving a stolen car.