Corbyn said his critics should not "obsess" about him and urged MPs to recognise the support that swept him to the leadership.
Corbyn, 66, was elected Labour leader in September with almost 60 per cent of 400,000 votes cast. He will celebrate 100 days as leader tomorrow.
But he has faced questions over his leadership and criticism from sections of the parliamentary party.
He did, however, receive a boost when Labour won the Oldham West and Royton by-election earlier this month with a higher vote share than at the general election.
He urged MPs to recognise the support that swept him to to the leadership and dismissed suggestions his supporters were attempting to intimidate his opponents.
"They should recognise that I was elected with a very large mandate from a very wide variety of people from all parts of the movement," he told the newspaper.
"There is no imposition of any mob. What there is is a development of participatory democracy. The parliamentary party is a part of the party, a very important part, but it is not the totality of the Labour party."
But speaking to the BBC, shadow business secretary Angela Eagle refused to say Corbyn should definitely still be in place in 2020.
Asked directly if she would like to see him remain leader for the rest of the Parliament, she said: "We have our leader."
She added: "It is my job to work with the leader that we've got to try to get the party positioned so that we can have a go at being the opposition to the Tories and demonstrate some of the mistakes that they are making but also get ourselves sorted so that we can put a compelling case to the British people in 2020 to give us a chance at government again.
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