The Belgium international has been a revelation since his late January arrival on-loan.
Asked about extending his stay into next season, Batshuayi told Der Westen: "I feel very good here because I understand my teammates very well.
"Some speak English, some French and most German. So I can talk to everyone or at least understand and learn. I feel like I'm in a big family, everyone is on the same wavelength.
"An extension of the contract in Dortmund? I will have to disappoint you. For now, I only think about football, not about my future. At the end of the season, it will be a decision to make, especially for both clubs. My future is the last thing I think about."