Meanwhile, Ryan Seacrest remains the front-runner while other names being touted - such as Mario Lopez, Andy Cohen, and Whoopi Goldberg - are being touted.
The American Idol host is said to have chatted with the producers of the long-running game show, while its 76-year-old current host is set to be its consultant.
The development comes after Sajak announced his upcoming departure from the show on Monday and after Seacrest left "Live with Kelly and Ryan" in April.