"Yeah, I would do that show for $100 million," Stern told his Sirius satellite radio listeners Monday, reports TheWrap.
According to a TVGuide.com poll, 69 percent of users thought Stern should replace Cowell, while the rest opposed the idea.
"It might be possible, we'll see, "said Stern. "They'd have to pay me a ton of dough, because I already make a ton of dough."
Stern's five-year $500 million contract with Sirius expires at the end of this year.
Stern, 56, said he might be the only person who could fill the void left by Cowell.
"If I do say so myself, I can't imagine anyone else but me replacing [Cowell]," Stern said. "I mean, I don't know. How else are they going to make that show work? Who knows how to broadcast and who knows how to be interesting? And who's not afraid to speak their mind?"
What do you think?