The car was updated to the TF105B for the 2005 Japanese Grand Prix. It was unique as it ran without a keel, and the suspension was mounted higher on the car than the TF105. It seemed to particularly suit Ralf Schumacher, as on its first outing, Ralf took pole at Suzuka, helped by his knowledge of the track from his Formula Nippon days. The TF105B was led to points finishes twice by Ralf Schumacher, with 7 points in total being scored with the car, including a podium in the 2005 Chinese Grand Prix.