For the 1991 season, Konrad initially ran their 962, scoring a handful of points in the first four races of the season. At round five, at the team's home event of the Nürburgring, Konrad debuted the KM-011 in the hands of drivers Franz Konrad and Stefan Johansson. Unfortunately the car failed to qualify for the event and Konrad instead turned to his older 962, taking a points-scoring finish. At the next round at Magny-Cours, the car was successful in qualifying, allowing Konrad to abandon their 962, but unfortunately the KM-011 failed to finish after 18 laps due to a failed starter motor.
Wishing to finish the season, Franz Konrad gathered the budget to fly the KM-011 and Konrad Motorsport team to the final two rounds of the season in Mexico City and Autopolis, Japan. In Mexico the KM-011 lasted 36 laps before its gearbox gave out. This was followed by suspension failure at Autopolis after a mere 24 laps. With this, the KM-011 failed to score any points in the World Sportscar Championship season, the 962 being the only car to score.
However, during the break from Mexico City to Autopolis, Konrad had the KM-011 flown back to Europe to participate in the final Interserie round at Zeltweg. In the first heat, Franz Konrad drove the KM-011 on his own to a 7th-place finish. The second heat saw the KM-011 suffer problems and fail to finish three laps from the finish. The combined results therefore gave the KM-011 a 16th-place finish, classified as a finisher.
The KM-011 would make one final appearance at the first Interserie round at the Nürburgring in 1992 still driven by Franz Konrad. The car would take 3rd place in the first heat, followed by a 4th place in the second. This combined result earned Konrad an overall 4th-place finish in the race. Unfortunately funding for the project would soon end. Although Konrad promised to be on the grid for the 1992 World Sportscar Championship season, the car never showed.
This would be the only car that Konrad would build themselves. They would return to running customer cars, mostly Porsches, following the retirement of the KM-011.