Although the producers of "American Idol" are reportedly investigating allegations that judge Paula Abdul had an affair with a former contestant, her fellow judges are publicly supporting her.

Season two "Idol" bootee Corey Clark claims in a book proposal he's shopping that he slept with Abdul, who promised to help launch his career -- charges Abdul denies. Clark's allegations first surfaced in a report in the Globe tabloid, and there has been rampant speculation that an ABC "Primetime Live" special next week will focus on Abdul.

ABC has said only that the special, scheduled for Wednesday, May 4, will investigate "explosive claims about behind-the-scenes activities at 'American Idol.'"

Meanwhile, the Los Angeles Times reports that 19 Entertainment and Fremantle Media, which produce "American Idol" for FOX, have launched their own probe into Clark's claims. Abdul told producers the story wasn't true, and in a statement released to the showbiz-news program "Access Hollywood," her spokesperson says that Abdul "will not dignify the false statements made by Corey Clark with a response. Mr. Clark is an admitted liar and opportunist who engages in unlawful activities."

Clark was kicked off "American Idol" in 2003 for failing to disclose a 2002 arrest in which he was charged with hitting his sister and resisting arrest. He later pleaded no contest to a reduced charge and served six months' probation.

Abdul's fellow judges have also taken to the airwaves to defend her. Simon Cowell called the claims "rubbish" on "Extra," while Randy Jackson also voiced his support for Abdul on "Access Hollywood."

The Times and New York's Daily News also report that Abdul's lawyer, Marty Singer, has sent ABC a letter threatening legal action if the "Primetime" special makes unsubstantiated claims about his client.