Police say they were called to the scene just after 2 p.m. at eastbound I-580 near Seminary Avenue.
At the time of the investigation it appeared that two occupants in the victim vehicle were struck by gunfire in the shooting, CHP said.
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"The victim driver arrived at a hospital in San Leandro for treatment, however both victims have since been transported to other hospitals capable of providing a higher level of care," police said in a statement.
All lanes of eastbound I-580 were closed just after 3 p.m. and remained closed for hours. Drivers were asked to use alternative routes while police investigated.