According to the Mail, new Rangers chairman Craig Whyte is "working behind the scenes" to see if his club could move into the English structure or into a previously mooted "Atlantic League" involving other top heavy leagues such as Portugal, Belgium and the Netherlands.
However, Whelan said Whyte is "living on a wing and a prayer" if he thinks the Premier League would consider allowing Rangers and Celtic into their league.
"I think the new owner of Rangers has to get real and face facts - his club plays in the Scottish Premier League. That is where they are based," said Whelan.
"Trust me, Rangers and Celtic will never get into England. I am not saying it isn’t a good idea for the OId Firm or for British football. I am saying it is not a good idea for English football. Our clubs would fight it tooth and nail.
"I have sat in on these votes within the English Premier League and there is next to no support (for Rangers or Celtic joining). Clubs here will not vote to give them access.
"I suppose maybe for the top one or two in the Premiership, it might be worthwhile.
"Manchester United might fancy playing Celtic and Chelsea might want to play Rangers now and again - but there is overwhelming opposition elsewhere."