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 will be included in a national study that will examine the relationship between law enforcement and the communities they serve.
The U.S. Army Corps of Engineers has released a new $800 million dollar plan for flood protection in Stockton.
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.