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.
The City of Stockton officially exits bankruptcy Wednesday. The exit ends more than two years of negotiations, settlements, and development of a future fiscal plan.
Valentine's Day is this Saturday and it might be the day some people find puppy love. The Stockton Animal Shelter is will be giving away dogs and cats to good homes.
February is Black History Month and a special museum is traveling to schools in Northern California. The Crocker Art Museum's "Art Ark" takes art off the wall and puts it in the hands of kids.