Human rights campaigners expect Indonesia's Supreme Court to make a decision in Lindsay Sandiford's case "within 96 days" from her lodging an appeal today.
Zoe Bedford, from legal charity Reprieve, said:
Lindsay remains extremely grateful to the generosity of the public in raising the funds to allow her to file this appeal.
We are hopeful that the Supreme Court will take into consideration the compelling mitigating evidence in Lindsay's case and award her a sentence that is proportionate both to the offence and to her role in it.
In particular, it is hoped that the judges will give due consideration to Lindsay's cooperation with the authorities which led to the arrest and prosecution of more senior syndicate members, and take into account the need to encourage others to cooperate in the future.
Lindsay Sandiford could seek a judicial review if Indonesia's Supreme Court rejects her latest death penalty appeal, human rights campaigners have said.
However, such a move would largely depend on whether new evidence had come to light, they added.
After that, her final resort would be to seek a reprieve granted by the country's president.
A British grandmother who has been sentenced to death by firing squad for drug smuggling in Bali has lodged an appeal at Indonesia's Supreme Court, pressure group Reprieve has said.
It is Lindsay Sandiford's second bid to overturn her death penalty after she lost her first appeal at the Bali High Court last month.
Balinese police claim the 56-year-old was at the centre of a drugs-importing ring after bringing £1.6 million of cocaine into the country. She denies the allegations.
The Government has done very little to support me. The Foreign Office (FCO) has done even less.
There are, and will continue to be, British nationals facing execution without lawyers and because they can not raise their voices the Government is standing by refusing to assist with funding of lawyers for them.
This action is tantamount to condoning the death penalty. Just giving and the public have done what the British Government fight not to do at great public expense.
The Government and FCO are doing all they can to resist me at this difficult time."
Donations through the charity site Just Giving have raised over £8000 to help pay for Redcar grandmother Lindsay Sandiford's appeal against her death sentence in Bali.
The 56-year-old lost her appeal over a UK Government refusal to fund her legal challenge yesterday.
She had previously said that she did not have the £8000 figure needed to pay for a final appeal against her death sentence by firing squad.
The charity Reprieve, who have been campaigning for support for Lindsay Sandiford, have confirmed that the money donated through Just Giving will be used, through them, to fund her upcoming appeal at Indonesia's Supreme Court.
British grandmother Lindsay Sandiford, 56, has lost her appeal over a UK Government refusal to fund her legal challenge against a death sentence imposed by an Indonesian court for drug smuggling.
Action group Reprive said Lindsay Sandiford faces the death penalty because "she has no money to hire a lawyer for her appeal".
Never has there been a clearer example of how the death penalty falls predominantly on those who do not have the funds to defend themselves.
The FCO should step in to ensure she gets the legal support to which she is entitled - given it would cost them a fraction of what they spend on wine each year, it is hard to see why they are fighting against this in the courts.
UK High Court judges upheld the Government refusal to fund Lindsay Sandiford at the end of January, despite pleas that she was urgently in need of money and her family had exhausted all their available resources.
Despite prosecutors asking for a 15-year jail term, Sandiford was given the death sentence, after being accused of damaging the image of Bali The British Government said it was disappointed when she lost her bid to block the sentence.
Balinese police said Sandiford was at the centre of a drugs-importing ring involving three other Britons, but she claimed she was forced to transport the drugs to protect her children whose safety was at stake.
Today Sandiford's lawyers will go to the Court of Appeal today in London over a UK Government refusal to fund her appeal.
Lindsay Sandiford's lawyers will go to the Court of Appeal today in London over a UK Government refusal to fund her appeal against a death sentence imposed by an Indonesian court after she was found guilty of drug smuggling.
The Foreign and Commonwealth Office said it would not pay for "an adequate lawyer" the 56-year-old British grandmother from Cheltenham.
Sandiford was sentenced to death by firing squad by a court in Bali for taking £1.6 million of cocaine on to the island.
Earlier this month Sandiford, originally from Redcar, Teesside, lost the first appeal to the Bali High Court but is expected to take her case to Indonesia's Supreme Court.
Sandiford, who was arrested after a flight from Bangkok in May 2012, was convicted of smuggling 4.8kg (10.6lb) of cocaine told the Daily Mail: "I would rather have the death sentence than a life sentence. I don’t want to get old and decrepit in here at least a bullet is quick.
"Sometimes I think, 'Let them get on with it.' I have had a lot of fun in my life. I’ve been to a lot of places, done a lot of things and I’ve met a lot of interesting people.
"I’ve got no regrets. I could be dying of cancer or something horrible and prolonged."
British grandmother Sandiford lost her appeal against her death sentence at the Bali High Court earlier this month.
The 56-year-old was convicted in January by a district court and sentenced to face a firing squad.