Model-turned-actor Abraham has been out on bail since the court case when he was sentenced to 15 days of imprisonment.
He lost his appeal against the punishment in a Mumbai sessions court on Friday but will now appeal to the Bombay High Court.
The case dates back to 2006 when Abraham was involved in an accident while riding his Yamaha Hayabusa motorbike, which skidded and hit a bicycle, injuring two people in suburban Mumbai.
Abraham had stopped and helped the victims to hospital despite his own injuries.
The police charged Abraham with rash driving on a public way and endangering the life or personal safety of others.