With [article id="1629445"]Simon Cowell's last season of "American Idol"[/article] set to premiere Tuesday night (January 12), rumors are already spreading about the future of the show, as well as who will be joining Cowell on his U.S. version of [article id="1629466"]"The X Factor"[/article] in 2011. But when Cowell called in to Ryan Seacrest's radio show on Tuesday morning, just a day after he announced he's leaving "Idol," he left very few questions answered.

For one, Cowell would neither confirm nor deny murmurs that former "Idol" judge [article id="1629474"]Paula Abdul would be onboard for "X Factor."[/article] "You'll have to wait and see," he said. "It's interesting. Ever since we made the announcement, everyone's been on the phone."

Earlier in the broadcast, Seacrest wouldn't say whether he would join "X Factor" if asked to host, but Cowell said a host had already been tapped to join. "Does the 'X Factor' have a host? Yes, it does have a host," he revealed. "What is its name? You'll have to wait and see."

The judge also addressed the timing of his "Idol" departure, following the show's ninth season. "I think you've got to know when it's time to go," he explained. "I've always wanted to bring this other show over here, and at one point I was going to do both shows, but you know about overexposure, Ryan. You can't be on TV too much. That was really the decision. And then I thought people would be sick and tired of me, so it was all agreed in the last few days."

Cowell also joked about the rumors that Seacrest may serve as both host and judge on future seasons of "Idol." "You're going to replace me," he said. "Well, you just literally jump from your stage onto the chair, and that way you got an extra job. I'm thinking of you, even in my darkest moments."

Get your "Idol" fix on MTV News' [article id="1486475"]"American Idol" page[/article], where you'll find all the latest news, interviews and opinions.