He claims Scots would opt to split from the union if they were given a second referendum as they felt they were “being dragged” out of the European Union “against their will”.
Speaking on Sky News, Mr Jenkins said: “Two things are crystal clear in Scotland, one is that we voted overwhelmingly to stay inside the European Union.
“So the combination of those two incontestable facts means it’s highly likely we’re heading for a second referendum on independence.”
On Monday Ms Sturgeon was accused of making an “empty gesture” after ruling out a vote on independence in 2017.
The First Minister said “there is not going to be” a rerun of the 2014 vote in the next 12 months – but warned there would be a breaking up in Britain if Scotland was “driven off a hard Brexit cliff edge”.
The former chief executive of Yes Scotland said a referendum would come round “fast”
“The timing suggests it will be 2018, [Nicola Sturgeon] said the vote ought to happen before the UK leaves the European Union, which would make sense,” he continued.
“So we know that will be two years from the point Theresa May triggers Article 50 so definitely by the end of March 2019 – so I think it’s next year there referendum will happen”.
In 2014, the Yes campaign failed in their bid to break up the United Kingdon, despite the Scottish Government spending £16m of UK taxpayers’ money to bankroll their idea.
Undeterred, Mr Jenkins claim many people have now changed their minds following the Brexit result on 23 June.
“I think a lot of people who voted No in 2014 have now either switched or considering switching to a vote for independence because we are now in the situation that is not of our making,” he said.
“If people had known then that a No vote meant a couple years down the road Scotland would be being taken out of the European Union against its will, that would have had a significant affect on how people voted then.”