Labour MP Geoffrey Robinson's private members' bill would bring England into line with Wales which has already adopted an opt-out system.
Mr Corbyn said: "It's wonderful he's got this bill introduced and I hope today the..."
MAJOR changes to the organ donation system in England have been given the green-light by MPs, saving hundreds of lives a year. "Around the country there are 50,000 people living with transplanted organs", she said. "I believe that we can do better as a nation".
Health Minister Jackie Doyle-Price also confirmed that the Government would name the changes "Max's Law" after Max Johnson, a 10-year-old boy who was saved by a heart transplant from Keira Ball from Barnstaple. In effect, that prevents one third of available organs from being used.
MPs heard that around 1,000 people die every year while waiting for a transplant and England had some of the lowest rates of consent for organ donation in western Europe.
'Every day, three people in the United Kingdom die waiting for a donated organ.
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Tory MP Peter Heaton-Jones, who represents Keira's family, said the case demonstrated how "more organs means more saved lives".
Mr Robinson told MPs that the United Kingdom had some of the lowest rates of consent in Western Europe and while levels of organ donation were considerably higher than a decade ago, he was anxious a "certain inertia" had set in.
An opt-out system "would not only help to deliver an increase in organs available for donation, but also help to shift attitudes about organ donation", Robinson writes in The Times.
He said: "It could ensure that others sign up for organ donation and will give strength to those who face similar circumstances".
"I will be thinking of Max and Keira, it is their bill and it is thanks to the courageous decision taken by Keira's dad on that most hard of days that four more people have life who otherwise might have not".
"None of us likes to think about the worst happening", he said.