A person familiar with the discussions told Vanity Fair that “ABC has renewed, and perhaps sweetened, its effort to woo Kelly” within the last month.

But a response from ABC News and parent company Disney appears to throw cold water on the idea that any tangible offer is on the table for the “Kelly File” host.

“As much as we appreciate and admire Megyn Kelly’s talents, this is simply not true. There has never been an offer of any job, and therefore there is nothing that could be sweetened. End of story.”

Kelly’s private spokesperson Leslee Dart indicated that while an offer may not be on the table with ABC, discussions are happening there and at other major networks.