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* Woman in latest case is fully recovered

* California health officials expect more cases

By Dan Whitcomb

LOS ANGELES, April 25 (Reuters) - A seventh case of the swine flu that has killed up to 68 people in Mexico was confirmed in California on Saturday, state health officials said.

The latest case was a 35-year-old woman from Imperial County who reported becoming ill on April 4, California Department of Public Health spokesman Al Lundeen told Reuters.

The woman, who was not identified, was hospitalized for the flu but had recovered fully, Lundeen said. No further details were immediately available about the woman or her condition.

She was diagnosed as part of stepped-up testing in California following the swine flu outbreak that showed signs of spreading as the World Health Organization warned it could become a global epidemic.

All seven of California's confirmed swine flu cases have been found in San Diego and Imperial counties, which share a border with Mexico.