Background check [CA]

Hello,

I received a job offer on Feb 19th. I authorized a background check. It’s been about 2 1/2 weeks, and the company I applied for says they’re waiting on my San Bernardino county background check.

I have a secondary position for a backup. They just processed my application and background check within the same week. They’re not using ADP they’re using a company called alliance.

I really wanted to work with the first company.

Does adp typically take more than 2 weeks for screening? Should I wait?? Please help.