Sevilla are in pole position to sign the Belgian international, the Daily Mail claims.
The Chelsea hitman could move on from Stamford Bridge after Olivier Giroud and Alvaro Morata pledged their commitment to the Blues for the new season.
New boss Maurizio Sarri is weighing up his forward options, with Batshuayi unlikely to feature ahead of both attackers this campaign.
Atletico Madrid and Valencia are also both keen on the 24-year-old.
