However, he criticised the obstructionist motions from Labour and Liberal Democrat politicians.
He then said a snap election would leave the country in little doubt of its future.
Mr Elliott added that a general election would give Prime Minister Theresa May enough sway to get the final Brexit deal done without entangling herself with Remain MPs.
The Leave campaigner reiterated Theresa May's pledge that no deal was better than a bad deal
The Brexit campaigner told Pienaar Politics: "There may even be a general election to decide this.
"I can see the Prime Minister setting a general election to give herself a mandate for the final Brexit deal.
"Within the next 18 months – it would be a very sensible move."
The remarks come as Liberal Democrat peers in the House of Lords threaten to hold up triggering the Article 50 Bill.
Pienaar asked on the potential Liberal Democrat obstruction of Article 50
Elliott said May had nothing to fear in Hard Brexit
I can see the government setting a general election to give themselves a mandate for the Brexit deal
Earlier on the programme, Liberal Democrat peer Richard Newby said his fellow Remainers would do all they could to push through a second referendum.
Mr Elliott said that the Remain-backing peers were "skating on thin ice".
There are threats among MPs to reform the House of Lords if they do actually hold up the Brexit deal.
Mr Elliot added: "The unelected bloc of Lib Dems would not only be overturning the will of the people but also the overwhelming majority of the House of Commons."
He also said that Britons had their eyes wide open when they went into the voting booth and knew exactly what they were voting for – contrary to Liberal Democrat claims.
Elliott said a general election would give Prime Minister Theresa May enough sway
The Leave campaigner reiterated Theresa May's pledge that no deal was better than a bad deal.
He said: "I am a big believer in Hard Brexit. We have more power than we think we do.
"I am very confident of getting a free trade deal with the EU as tariffs would cost them more than they would us.
"And that goes the same for other countries – it would cost them more than us."
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