The 6-month-old will reportedly appear on Oprah's Next Chapter with her actor parents.
Commenting on the appearance, PR guru Dale Bhagwagar said: "Visibility is one of the biggest determinants of celebrity and, thanks to new media, the world is getting smaller by the day."
According to Bhagwagar, the Bachchans' first child has already emerged as a brand of her own.
Chicago-based journalist Jennifer Hopfinger has indicated that Aishwarya and Abhishek will officially unveil the name of their first child on the upcoming programme.
The talk show host recently travelled to India, meeting with the Bachchan family - as well as Hrithik Roshan, Anil Kapoor and Priyanka Chopra - during her stay in Mumbai.
Aishwarya Rai was a guest on The Oprah Winfrey Show in 2005 and 2009.