Nine goals in his first 12 appearances have made Batshuayi into an instant star in Dortmund and the 24-year-old extended his tally against Stuttgart on Sunday.
Batshuayi scored a lovely goal, doubling BVB's lead with a fine finish.
He started the move off with an audacious flick to find Nuri Sahin, who then picked out the forward who got on the end of the cross.
It is no surprise that Dortmund want to hang onto their leading forward, and they are expected to test the resolve of the English champions in the summer.
BVB defeated Stuttgart 3-0.