Ibrox chief executive Martin Bain confirmed on Tuesday that discussions with Celtic had taken place as the 10 other top-flight clubs consider a deal put forward by Sky and ESPN following the collapse of Setanta.
The 12 SPL clubs will meet at Hampden for their AGM on Thursday where the Old Firm's proposal, although not formally on the agenda, will be discussed.
Rangers chairman Murray told the Daily Record: "What we are trying to do here is not simply about what is best for Rangers and Celtic - our proposals would help all of the clubs in the SPL.
"Myself and Martin Bain have held detailed discussions with Celtic's chairman John Reid and chief executive Peter Lawwell and we are convinced that this is the best way forward.
"But it is not merely financial sense for Rangers and Celtic to go down this road - we are trying to protect the very future of Scottish football."
The £65million five-year offer by Sky and ESPN only amounts to half of the contract with Setanta.
Murray added: "The broadcasters are simply doing their jobs. They have seen an opportunity to buy our game on the cheap and they are trying to take it.
"But what people must understand is that, in the long run, the product is going to suffer.
"We're talking about accepting around half of the money our clubs had been expecting to bring in from a TV deal.
"That will have an impact on every club in the division."