Hoffenheim accept they have no chance of keeping hold Reiss Nelson.
The midfielder, on-loan from Arsenal, struck twice in TSG's victory over Nurnberg on the weekend.
BILD says Hoffenheim have paid €500,000 to have Nelson on a 12-month temporary deal without the option to buy him outright.
Nelson already has scored three goals this season and inside Hoffenheim, coaching staff are declaring the youngster "potentially world class".
He said: "Arsenal is my childhood club. I think they are pleased that I am playing again. I'll hopefully come back to Arsenal."