Nigel Farage responded to Graham, who texted into his LBC show, and said: “All thanks go to Italy for this favour to us.
“Let’s hope the whole bucket blows up in Brussels’ face and they’ll be no European Union for us to leave.”
Mrs May’s preferred option, the customs partnership, would see the UK collecting import tariffs on behalf of the EU, but this option was rejected by six of the 11 ministers in her inner-Brexit group.
Mr Farage said: “I have been saying for years, I want us to leave before the whole thing falls to pieces.
“I would lose a great sense of satisfaction if we could not do this.
“I keep saying this every week, Lord Adonis and these people who want us to basically stay in the European Union.
“What are we staying in? We’re staying in something that, I think, is increasingly fragmented.”
The Prime Minister has been battling away with her so-called Brexit war Cabinet in order to strike a consensus on how Britain should move forward in talks with the EU over a future customs arrangement that solves the Irish border conundrum.
Brexiteer ministers had wanted to pursue a plan for “maximum facilitation” which involved using a series of complex technologies and a trusted trader scheme to ensure customs checks on the Irish border are kept to an absolute minimum.
However, the suggestion – known as “MaxFac” – was rejected by the EU and experts have also warned the sufficent technologies will not be ready until after the transition period ends in December 2020.
Many business leaders are also calling on the Government to remain in the customs union in a bid to solve issues threatening trade following Brexit.