The 26-year-old has recently become a potential target for the Catalan giants.
According to Sport, the Blaugrana are confident they can raise funds through player sales and hope to start negotiations for the leader soon.
However, the report adds that Ronald Koeman’s team could drop a player more cash offer for Sterling if they are unable to fund a cash-only deal.
The England international has two more years to go on his contract with City.
Sterling has scored 114 goals in 292 appearances for City, since arriving from Liverpool in July 2015.