The report claims that the Senegalese international will earn €7 million per-season.
The move would come as a surprise if it does go ahead as Ba allegedly was not considering a move to China.
Ba had his sights set on a return to the Premier League and West Brom as well as West Ham were reported to be interested.
The Mirror recently wrote that West Brom had entered talks with the Senegalese international.
A return to West Ham would have reunited the Senegalese international with former manager Slaven Bilic.
The 29-year-old striker scored a career high 27 goals in all competitions for Beşiktaş last season.
Ba only joined the Black Eagles last season from Chelsea and still has two years left on his contract.
The Istanbul giants finished last season in third place and reached the quarter-finals of the Europa League.