The 23-year-old faces gallows on Thursday morning if clemency is not granted.
Jake Bilardi reportedly detonated a suicide jacket in Iraq this week.
Analysts say the militant group has at least six million people in areas under its control, and access to 25,000-80,000 fighters.
Employment, love and free housing are among the amenities offered by the extremist group.
Academics say the nationalist rhetoric risks undermining India’s scientific reputation.