The agency leasing the Treasure Island space where the barge is being built says the four-story vessel is bound for the Port of Stockton, a destination located about 80 miles east of San Francisco.
The Treasure Island Development Authority says it has been notified the barge will move by March 7.
Google Inc. and the Port of Stockton didn't immediately respond to requests for comment.
The barge is leaving because of a Jan. 31 regulatory order concluding that Google didn't have the proper building permits at Treasure Island.
Google says the barge will become a floating technology center once it's done.
Amazon’s newest center is over 1 million square feet in south Stockton near the airport. Officials say the two centers will hire around 2,000 workers.
Local elected officials see a potential Cal State campus as the climax of Stockton’s redemption story — a chance to boost local businesses and create a college-going culture among the city’s youth.
Most departments that occupy the building will move into the Waterfront Towers in Downtown Stockton within a couple of years as the new city hall.