The Tendring District councillor was speaking weeks after his rival, Mr Carswell, quit as Ukip’s only Westminster representative to become the Independent MP for Clacton.
Mr Carswell defected from the Tories to Ukip in 2014, but just three years later claimed it was “job done” with the Eurosceptic party now Britain had voted Leave.
Giles Watling claimed Brexit had 'nothing' to do with Ukip's influence
The delivering of the referendum had nothing to do with Douglas or Ukip
However, Mr Watling rejected the idea such a referendum was even held because of the surge of support for Ukip over recent years.
Speaking to Express.co.uk, he said: “Many people see that [Ukip’s] purpose was to bring us out of Europe, and with that being achieved that is now over.
“But it has got to be remembered that before the 2010 election, David Cameron did promise a referendum if he could get a Conservative majority, which he didn’t at that time.
The Tory councillor reduced Douglas Carswell's majority to 3,000 at the last election
“In 2015, he promised the same again, he got his Conservative majority and delivered the referendum.
“Douglas defected in 2014, the delivering of the referendum had nothing to do with Douglas or Ukip, it had to do with the Conservative Party and a rift that has been in the Conservative Party for over 40 years.”
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Mr Watling, who is best-known for his role as Oswald in the sitcom Bread, reduced Mr Carswell’s majority from 12,000 to just over 3,000 in the 2015 General Election.
Mr Watling does not believe Ukip would win Clacton again
The newly Independent MP has held the Essex seaside seat since it was created in 2010.
The town of Clacton is one of the most Eurosceptic places in the UK, with 70 per cent of voters backing Brexit in the June referendum.
Nigel Farage is one of a number of Ukip figureheads calling for a by-election to be held – but Mr Carswell says one is not needed as he hasn’t “crossed the floor”.
However, even if Mr Carswell conceded by calling an early vote, Mr Watling believes the constituency would not turn purple once again.
He continued: “I’m on the district council here and six members of the district council have turned from Ukip to the Conservative Party.
“They’ve crossed the floor back and I think they pretty much reflect what’s going on around here.
“I can’t see it happening, I might be wrong, but I can’t see it happening.”