That is the claim of Sport Bild, reporting that the deal will be announced officially on Friday.
Shortly after Marussia announced it is replacing the 30-year-old with an as-yet undecided pay-driver, Glock headed to Valencia where he tested BMW's M3 DTM car.
"The car is great," he said. "I can finally go for wins.
"The team already feels like family to me. I'm all fired up for the season."
The 2013 DTM season begins at Hockenheim in early May.
Meanwhile, there are reports 2012 HRT driver Narain Karthikeyan is considering a switch to the US-based Indycar series for this year.