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 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.
Cross said he did not have details about what motivated the pursuit, but that the CHP were able to detain the person they were chasing.