Mr Corbyn said that he accepted the result of the Brexit referendum and that Britain would be leaving the EU.
But the Labour leader insisted that he would not put a figure on immigration cap as he took as swipe at Theresa May's government for failing to reach their pledged figure at their third election.
He added: "We accept the result of the referendum. It has happened, we accept it.
Jeremy question was questioned on refusal to give a number on caped immigration by an audience
the Labour leader refused to elaborate on an immigration cap but added it would "probably" be no higher than at present and would "probably come down".
Mr Corbyn said: "I am not going to stand here and put a figure. Our Prime Minister has done that now in the third election and got nowhere near meeting that figure.
"I would have thought that under a managed migration system it certainly would not go up any more. It would probably – I don't want to be held to this – probably come down. It is a probability."
I am not going to stand here and put a figure
Earlier the Labour was asked by an audience member whether he should be trusted as the "right man for the job" as Prime Minister.
Mr Corbyn responded: “But you know what in life you meet lots of people, some I agree with some I profoundly disagree with.
"But I always want to get to know them.”
He added: "You should never be so high and mighty you can't listen to somebody else and learn something from them.
Get Quotes on Home Insurance
"Leadership is as much about using this (gesturing to his ear) as using this (pointing to his mouth)."