A seat in the German manufacturer's squad for next year has been opened up by Alexander Sims moving to Mahindra, a move that was announced on Wednesday.
BMW is thought likely to fill the spot alongside Maximilian Gunther with one of its existing factory drivers, especially given that the DTM's future beyond 2020 in doubt following Audi's withdrawal from the series at the end of this year.
DTM drivers Wittmann and Auer have both tested BMW's FE car in the past, but neither driver suggested they were targeting the seat left open by Sims' departure.
Asked about the prospect of a switch to FE, Wittmann said: "To be honest, I didn’t consider this so far. At the end I’m fully concentrated on DTM at the moment for 2020.
"What’s going to happen in 2021, I have no clue at the moment. So I think first of all [about the] DTM then we see where we will be racing next year."
Marco Wittmann, BMW I Andretti Motorsports, BMW iFE.18
Sam Bloxham / Motorsport Images
Auer, who represented BMW in the Formula E rookie test in Marrakesh earlier this year, said that whatever happens he is confident he will remain part of the Bavarian marque's stable next year even if staying in the DTM is no longer an option.
The Austrian driver also contested the third round of the Nurburgring Endurance Series for customer team ROWE Racing, sharing a M6 GT3 with Nick Yelloly, prior to the DTM season.
"Regarding next year, to be honest I feel confident and it’s mainly because I feel super-comfortable with BMW," Auer told Motorsport.com.
"I already tested a lot of cars with them and I feel part of this big family. For my future I want to be with BMW and then we have to see where. But I feel confident.
"[The Formula E test] was a good experience, but I also drove the [M6] GT3 car, I did a race on the Nordschleife, I did a lot of things. Whatever I do next year, the first priority is to do it with BMW. But it’s still early to think about it, I want to perform well in DTM.
"Then also we have to see which direction the DTM goes in. You have to be flexible, and this is what I have been doing, testing almost everything that is out there."
Lucas Auer, BMW Team RMG, BMW M4 DTM