For the first time in its history, the California State University system may have to turn away some eligible students from all its 23 campuses because of the state's budget crisis.

Chancellor Charles Reed proposed the enrollment restrictions after Gov. Arnold Schwarzenegger this week announced $66 million in midyear funding cuts to the CSU system. The state slashed $31 million in funding to CSU this summer.

The university's governing Board of Trustees is scheduled to discuss the proposal in Long Beach on Wednesday. The board also will be asked to consider increasing tuition for business school graduate students.

Individual CSU campuses have previously closed enrollment, but such restrictions have never been imposed systemwide.