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.
A judge sentenced two men Tuesday in the Bank of the West robbery and shootout in Stockton that claimed the life of a hostage two years ago.
Stockton now ranks among the top 20 fiscally healthy big cities in the nation. This comes just two years after the city came out of bankruptcy.
Incarcerated parents in Stockton can now read stories to their children through audio recordings.