The First Minister was speaking on ITV1 Wales' Sharp End
He was reflecting on the last 12 months of politics and was looking ahead to the next.
Mr Drakeford was asked whether 2024 would be his last year as First Minister, to which he said, "I think you can safely put your money on that".
He admitted that it is "highly likely" there would be a new First Minister in place by Christmas next year.
"I've always said I would stand down around the middle point of the Senedd term."
Though, Mr Drakeford went onto say, the big political "issue" next year would not his departure but instead the general election.
An ITV Wales/YouGov BarnCymru poll showed that his popularity is at an 18-month low.
More than half of respondents (56%) believe he is doing a bad job as First Minister.
When asked whether he will go before or after the general election, Mr Drakeford said: "Well, we don't know when that general election will come.
"It might not even be called this time next year, it doesn't have to be held until the end of January in 2025.
"I want that general election to come as soon as possible."
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