The latest is Richard Scudamore.
Briton Scudamore, 54, is the current chief executive of England's premier league football, but his job is now in doubt due to a series of allegedly sexist personal emails.
But if Scudamore does lose his job, CVC has admitted it is interested in hiring him for F1.
"TV rights deals are F1's lifeblood. That is what Bernie has been brilliant at," the source told the Daily Mail newspaper.
"That is what Richard Scudamore is brilliant at. If we can't have Bernie, we need someone like Scudamore.
"We have never thought he would be available, but if he is that would be worth very serious consideration indeed," the source added.