There had been further reports that the governing body may opt to suspend the 30-year-old from upcoming tournaments.
However, the ATP believes that the punishment that Nalbandian has already received is "sufficient".
"After a review of the incident, the ATP determined that although David's actions were unacceptable and under ATP rules warranted an automatic default, the injury to the linesman was unintentional," read a statement from the ATP. "As such, it was decided that the sanctions already levied against David are sufficient in this case."
Nalbandian will take on number eight seed Janko Tipsarevic during round one at SW19.