The singer had accused the mega-producer of assaulting her on multiple occasions while she was a judge on both Idol and So You Think You Can Dance.
The TV personality is no longer a judge on the 18th season of Fox series So You Think You Can Dance.
The upcoming 18th season premieres on March 4.
The decision comes amid a lawsuit by Paula Abdul accusing the television producer of sexual assault.
The singer-dancer claims that the producer sexually assaulted her during two alleged incidents.