Robert Halfon has said a second referendum would lead to "loads of Tommy Robinson's" in Parliament.
The Conservative MP revealed he intended to vote for Theresa May's deal, claiming there was now "no alternative" for Brexiteers.
"I really worry that what might happen is a second referendum, which to me would be political calamity because it would lead to huge mistrust in our political system and loads of Tommy Robinson's elected to Parliament," he said.
"It would be a betrayal of what I promised my voters in Harlow and the 17 million [leave] voters in the country."
Mr Halfon made the comments about the political activist on the breakfast show, appearing in the wake of last night's Commons vote in which MPs debated alternatives to Theresa May's Brexit deal.
There was no majority for any of the options, and the politician claimed remainer MPs were "cheering like they had won the FA Cup final".
"I was looking at the arch remainer referendum people last night and they were cheering like they had won the FA Cup final," he told talkRADIO's Julia Hartley-Brewer.
"If you want to deliver Brexit - some kind of Brexit and get over the line - I think there is no alternative than to back the Prime Minister's deal."