Mr Corbyn was quoted by the BuzzFeed News website as saying would be “carrying on” regardless of the result on June 8.
“I was elected leader of this party and I’ll stay leader of this party,” he told the website.
Mr Corbyn has previously sought to avoid questions about his own future if Labour is defeated.
With the polls suggesting the Conservatives are on course for a commanding victory, Mr Corbyn has been blamed by many Labour MPs for making the party unelectable.
However, he is thought to be under pressure from some on the left to carry on, regardless of the result, as they are desperate not to lose control of the party.
Such a move would trigger a renewed power struggle within the Labour ranks after the battles of the last two summers.
During last year’s leadership contest, shadow chancellor John McDonnell - one of Mr Corbyn’s closest allies - signalled they would both have to stand down if the party lost a general election.
“That would be inevitable, wouldn’t it? Every Labour leader who loses an election usually goes,” he told BBC1’s The Andrew Marr Show.
Labour sources refused to be drawn on the report. One source said they were “focused on winning the General Election” and that anything else was a “distraction”.
Mr Corbyn’s comments came as he prepared to launch his battlebus tour with a promise a Labour government will deliver a “jobs-first Brexit”.
He will say: “This election isn’t about Brexit itself. That issue has been settled. The question now is what sort of Brexit do we want - and what sort of country do we want Britain to be after Brexit?”
“Labour wants a jobs-first Brexit, a Brexit that safeguards the future of Britain’s vital industries, a Brexit that paves the way to a genuinely fairer society and an upgraded economy.”
The Labour leader has so far attempted to steer the campaign narrative away from the Brexit debate - which has proved highly divisive within the party - instead focusing on Tory cuts to public services and his own party’s spending plans.
His comments appear designed to reassure pro-EU Labour voters considering defecting to the Liberal Democrats.
Theresa May, meanwhile, is focusing on Conservative plans to cap “rip off” gas and electricity prices.
The Prime Minister said capping poor value standard variable tariffs (SVTs) would save 17 million families up to £100 a year.
The Tories were accused of stealing former Labour leader Ed Miliband’s proposals for an energy price freeze when the plan was first trailed last month.
But in an article for The Sun, Mrs May said the energy market was not working for ordinary families.
“It is the vulnerable, and those on low incomes, who are being hit hardest. Too many people simply aren’t getting a fair deal.” she said.
“If I am re-elected on June 8, I will take action to end this injustice by introducing a cap on unfair energy price rises.”
Mrs May will give her first joint television interview with her husband, Philip, when they appear on BBC1’s The One Show.
It is the first in a series of interviews by the programme intended to explore the person behind the politics.