If she joined the $14 million production about show business that has managed to survive despite poor reviews, she would play Rani, the superstar who does the showstopping "Shakalaka Baby."
But, it is unlikely Jackson will accept the offer, the New York Post said Friday.
"Why would she go into a show that the critics don't like?" one veteran theater executive told the Post.
The pop-star route has helped "Aida," still running despite also being trounced by the critics. It managed to keep in business by sticking Toni Braxton, Michelle Williams and Deborah Cox into the title role.
Rosie O'Donnell unveils nearly 50-pound weight loss
Iranian woman stops the execution of son's killer