The assisted dying bill has been introduced by Labour MP Kim Leadbeater, who argues her legislation is the "most robust" in the world. She has said she expects hundreds of dying people to apply if it is available.
Critics of her measure have raised fears of coercion and a slippery slope to wider legislation taking in more people.
Speaking on Tuesday, Leadbeater rejected these claims, saying her bill had “three layers of scrutiny,” requiring sign-offs from two doctors and a High Court judge, and made coercion punishable by up to 14 years in prison.
Only terminally-ill adults with less than six months to live who have a settled wish to end their lives would be eligible under the new law.
MPs are scheduled to debate and vote on the bill on 29 November.
The prime minister, a former director of public prosecutions, has previously supported assisted dying, but the government has pledged to remain neutral on the issue, and MPs are being allowed to vote according to their conscience rather than along party lines.
This will be the first Commons vote on assisted dying since MPs rejected allowing terminally ill adults to end their lives under medical supervision in 2015. As a backbench Labour MP, Streeting voted in favour of that measure.
If the bill passes its first vote later this month, it will receive further scrutiny from MPs and peers, who could choose to amend it.