Howard-era laws blocking the Northern Territory and the ACT from establishing assisted dying schemes could be overturned as soon as next month, after Prime Minister Anthony Albanese and Opposition Leader Peter Dutton voted in favour of a private members’ bill on Wednesday.

Government and Coalition MPs cast a conscience vote in the House of Representatives on legislation to end the so-called Andrews bill, which passed convincingly with the support of 99 MPs, including Mr Dutton, deputy Liberal leader Sussan Ley and Greens leader Adam Bandt.