Usmagazine.com reports that the star, who was a finalist on the third season of the reality TV show, will perform in front of the studio audience on Wednesday night after the live broadcast of the programme.
Her appearance will then be broadcast at a later date.
It's likely that Jennifer - who won an Oscar for the film Dreamgirls - will sing a number from her self-titled debut album.
Jennifer's appearance marks the first time she has returned to the Idol stage following the murders of her mother, brother and nephew in Chicago last October.
The actress and singer kicks off her national tour with R&B singer Robin Thicke at the end of this month.