The broadcaster has joined Swiss clinic Dignitas, which lets people have an assisted death, but her family could currently be prosecuted if they were to travel there with her.
Dame Esther told the BBC it was “important that the law catches up with what the country wants”.
Assisted dying is banned in England, Wales and Northern Ireland, with those convicted facing up to 14 years in jail.
In Scotland, it is not a specific criminal offence, but assisting the death of someone can leave a person open to murder or other charges.
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7:10
What is assisted dying?
Starmer: Free vote ‘seems appropriate’
Sir Keir voted in favour of legislating for assisted dying in 2015, when a private members bill was brought to the Commons by Labour MP Rob Marris.
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Members were given a free vote on the issue – meaning their political parties did not pressure them to vote in a particular way – and they overwhelmingly rejected a change in the law by 330 votes to 118.
Sir Keir said while there are “obviously strong views both ways on this, which I respect”, another private member’s bill and free vote “seems appropriate”.
Both Housing Secretary Michael Gove and Work and Pensions Secretary Mel Stride have also said they would be willing to see a fresh parliamentary debate on the issue.
The prime minister’s official spokesman said the government’s position has not changed, so it remains a matter for parliament to decide and “an issue of conscience for individual parliamentarians rather than government policy”.
Bitfinex CTO Paolo Ardoino explained that if the hacking group was telling the truth, they would have asked for a ransom, but he “couldn’t find any request.”
The symbolism of Labour taking the West Midlands mayor, a jewel in the Tory crown, could be felt in the room as Labour activists gathered in Birmingham to celebrate the win with their new mayor Richard Parker and Labour leader Sir Keir Starmer.
There are moments on election journeys when the momentum shifts – and this win felt like one of them.
“We humbly asked [the voters] to put their trust and confidence in a changed Labour Party and they did. And that is a significant piece of political history that we’ve made here today,” said Sir Keir at his victory rally.
“So the message out of these elections, the last now the last stop before we go into that general election, is that the country wants change.
“I hope the prime minister is listening and gives the opportunity to the country to vote as a whole in a general election as soon as possible.”
This win gave them the boost that was missing when they won the Blackpool South by-election on a massive 26-point swing, but then failed to pick up the hundreds of council seats they were chasing.
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This win, on just 1,508 votes or 0.25 per cent of the vote, was a body blow for a Conservative party that believed they could just about cling on. Ben Houchen, the Tees Valley mayor, is now the last Tory standing.
For Labour, then a moment to bookmark.
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Just as Boris Johnson’s Hartlepool by-election win in 2021 was a low point for Sir Keir – he told me this week that he considered resigning over the loss because he thought it showed he was the barrier to Labour’s recovery – this too will feel devastating not just for Andy Street but for the PM too.
Labour has beaten him in a street fight. He’s bloodied with Sir Keir now emboldened.
“This was the one result we really needed,” said one senior Labour figure. “It’s been our top focus for the past week and symbolically a very important win.”
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3:32
Analysis of local election and mayoral results
And Labour needed the boost, because, as Professor Michael Thrasher pointed out in his Sky News’ national vote share projection calculated from the local election results, Sir Keir was not picking up the sort of vote share that Tony Blair was winning in the run-up to the 1997 Labour landslide.
His latest calculation of a 35% vote share for Labour and 26% for the Tories, put Sir Keir winning a general election but short of a majority.
What the West Midlands mayoral win did for Sir Keir was to give him a clear narrative that he is coming for the Tories and will do what he needs to take them down.
It raises inevitable questions about what is next for Rishi Sunak. The prime minister had nowhere to go today, not one win to celebrate. The worst performance in council elections in 40 years, was already pretty much as bad as it gets before the loss of Andy Street. The former Conservative mayor was magnanimous towards the prime minister, saying the loss was his alone.
But colleagues will not be so generous. One former cabinet minister said this loss was “devastating”. “We’re done and there’s no appetite to move against him,” said the senior MP. Many Tories tell me they are now resigned to defeat and believe Mr Sunak and his team needed to own it, rather than the rest of the party.
The coming days might be bumpy, the mood will be stony. But Tories tell me not much will actually change for them.
For Sir Keir, he now needs to sell not the changed Labour Party, but his vision for changing the country. The West Mids mayor’s win was dazzling, but it could have so easily gone the other way. And as Mr Sunak fights to survive, Labour still has to fight hard to win.