Scudamore said he didn’t see the existing 20 clubs welcoming the move and that he personally is against it.
"I don't think it's a serious proposition for a whole number of reasons," he said on the ESPN show Between The Lines. "Scottish football is Scottish football. For a traditionalist like me, that's where the Old Firm should play.
"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."
Bolton Wanderers chairman Phil Gartside is the driving force behind a two-tier English Premier League idea that could pave the way for Celtic and Rangers to play in England. He will raise the issue at a league meeting in November.
