The Spain international had a mixed first season in England and he is now considering his options.
Dortmund are looking to sign a striker this summer after selling Pierre-Emerick Aubameyang to Arsenal back in January.
Chelsea’s Michy Batshuayi, who spent the last six months on loan with Dortmund, is high on the club’s shortlist.
But, according to Bild, Batshuayi’s Blues team-mate Morata is also a top target for the German club.
Dortmund have been alerted to the striker’s situation and his potential desire to leave this summer.
Morata is attracting plenty of interest at present, with his old club Juventus also keen on him.