AB1428 by Assembly Minority Leader Connie Conway of Tulare would require background checks for Covered California employees who would have access to private applicant information.
The Republican lawmaker says consumer protection should be as high a priority as access to affordable care.
It passed the Assembly 68-0 Friday.
The state insurance commissioner and consumer groups are concerned the new exchange that was set up under the federal Affordable Care Act is not doing enough to screen counselors.
The exchange says it has adopted regulations to require fingerprinting and background checks for counselors. Officials also plan to monitor counselors using secret shoppers.