It would change the laws for people to have to opt out of organ donation, making it easier, and potentially saving 500 lives each year like little Benjamin's.
However, the so-called "deemed consent" bill, brought forward by Labour MP Geoffrey Robinson, would reverse the existing system so that all patients are assumed to be willing organ donors unless they have stated otherwise.
Shadow health minister Sharon Hodgson said: "I'm in the Chamber of @Geoffrey4CovNW Private Members Bill on Organ Donation".
Mr Robinson said his Bill would not "make an immediate difference tomorrow" but hoped in the coming years it would increase the availability of organs.
'But as well as changing the law, we want as many people as possible to have their say on a future system that will save many more lives and would urge the public to have their say'.
Now 80-per-cent of people say they would be willing to donate their organs but only 36-per-cent register to become an organ donor.
"On the present waiting list of some 6,500... some 500 are, in effect, on a life sentence and will, without an organ becoming available, die over the next year", Mr Robinson said. "I believe this House would agree with me that that just simply isn't good enough". Labour MP Eleanor Smith said that there needed to be more "willingness" to discuss donation in the BAME community.
Ms Doyle-Price added that the Government would be referring to the changes as Max's Law, after nine-year-old Max Johnson, who benefited from a heart transplant.
A number of MPs said on Twitter that they would be giving the Bill their support. The debate ended in good news, because the government has confirmed it will support a bill created to introduce such a system. Tory backbencher Dame Cheryl Gillan said she had changed her mind on the issue after seeing a friend's son struggle with a chronic liver disease.
The government has already launched a consultation on opt-out organ donation, but it looks like things are moving ahead regardless.
Mr Corbyn said: "It's wonderful he's got this this Bill introduced and I hope today the House can pass it and thus save an bad lot of people's lives in the future".