According to Hindustan Times, the incident occurred during the shooting of action film Force.
Producer Vipul Shah commented: "His hand could have been seriously injured had he not worked so hard on his physique and strength.
"But it's important that John recovers so I'll shuffle the schedule around a bit. We'll shoot the easier scenes first and can film the more intense action sequences later."
Abraham, who suffered the injury during a free fall, is said to have insisted on continuing filming due to the costs involved in constructing an expensive set for the project.
The film, a remake of Southern hit Kakha Kakha, is being shot on location in Mumbai, Pune and Manali.
