"He hit the crash barrier on a slippery, snowy road," Ralph Eder told Reuters, adding that Neureuther was able to continue driving after the accident.
"His doctor is examining him now for whiplash."
The crash was reported by the star's girlfriend, biathlete Miriam Gössner, who was also in the car at the time. Neureuther apparently left the scene to get medical attention, leading to speculation in Germany that he could be charged for leaving the scene of an accident - though no such charge has yet been suggested by the authorities.
The medical exam will determine if and when the 29-year-old would be able to fly to Sochi to start in Wednesday's giant slalom and next Saturday's slalom, Eder said.
Neureuther, the son of double Olympic champion Rosi Mittermaier and six-time slalom World Cup winner Christian Neureuther, missed his plane from Munich after the crash.
Despite having had an injury-plagued season, Neureuther is tipped to be a medal contender in both races. He won a World Cup giant slalom and two slaloms last month, including the prestigious Kitzbuehel slalom.