Premier League chief executive Richard Scudamore does not envisage that Rangers and Celtic will leave the SPL in the near future.
The prospect of the Old Firm pair joining the English top flight has been mooted for a number of years.
However, Scudamore cannot envisage the 20 Premier League clubs voting to let Rangers and Celtic in.
“I don’t think it’s a serious proposition for a whole number of reasons,” he told ESPN.
“Scottish football is Scottish football. For a traditionalist like me, that’s where the Old Firm should play.”
He added: “I see the benefits for Celtic and Rangers if they moved to our Premier League but I don’t think our 20 clubs are going to vote to allow these clubs into our league.”
Scudamore has also revealed that he is a staunch supporter of the underdog when it comes to Premier League fixtures.
“The big clubs know I don’t mean anything ill of them by this, but of course there is rejoicing in our office when the Burnleys pick off the league champions, when the Wigans beat the Chelseas,” he said.
“No-one could pick the champions with any certainty. All of us could have a guess, but no-one could be absolutely certain.”