My son attends a CA State University and here is the wording from the email he received:

Dear campus community,

As you may have heard, the California State University, in tandem with the University of California, announced today that COVID-19 vaccines will be required for students and employees returning to CSU campuses. This requirement will be conditioned upon full approval of one or more vaccines by the U.S. Food and Drug Administration (FDA), as well as adequate availability of the fully approved vaccines. This requirement will become effective at the beginning of the fall 2021 term, or upon full FDA approval of the vaccine, whichever occurs later.

The CSU will be engaging in discussions with the California State Student Association, the CSU Academic Senate and labor unions before implementing changes to existing immunization requirements