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.
Tubbs was voted in last year with 70 percent of the vote and, at 26, became the youngest elected mayor of a larger U.S. city. He is also Stockton’s first black mayor.
Stockton Police are offering a $10,000 reward leading to the arrest and conviction of a 14-year-old boy for murder.
Stockton Mayor Michael Tubbs announced a $20 million donation for financial help for college students.