UK boy's parents appeal to European court to keep his life support
Stay tunned with 24 News HD Android App
But his parents are seeking a last-ditch ruling from the European Court of Human Rights (ECHR) to keep him alive.
"As directed by the courts, we will work with the family to prepare for the withdrawal of treatment, but we will make no changes to Archie's care until the outstanding legal issues are resolved," said Alistair Chesser, chief medical officer for the hospital's governing trust.
Archie's mother Hollie Dance found her son unconscious at home in April with signs he had placed a ligature over his head, possibly after taking part in an online asphyxiation challenge.
His parents want to take Archie abroad for treatment.
"If this country can't treat him or is not willing to treat him, where's the harm in allowing him to go to another country?" Dance told reporters outside the hospital.
"I will continue to fight right until the bitter end. Is that the way forward in this country then, we're allowed to execute children because they've got disabilities? What next?" she added.
The Strasbourg-based ECHR told AFP that a decision was expected later Wednesday.
UK courts ruled that ending life-preserving treatment for Archie was in his best interests as doctors believe he is brain-stem dead.
He is currently being kept alive through a series of medical interventions, including ventilation and drug treatments.
Series of cases
But the Court of Appeal granted them a hearing on Monday after the government urged judges to consider his parents' application to the UN Committee on the Rights of Persons with Disabilities.
The UN committee had asked for treatment to continue while it considered the case.
Instead, his parents filed an application directly with the Supreme Court to consider the UN application.
Tuesday's deadline came and went as the top court looked at the case.
The Supreme Court judges said they had "great sympathy" with Archie's parents, but rejected their appeal saying there was "no prospect of any meaningful recovery".
The hospital's planned withdrawal of treatment was again extended after the ECHR bid was filed.
The case is the latest in a series that have pitted parents against Britain's court and healthcare systems.
His parents had fought a five-month legal battle for him to be taken to the United States for experimental treatment.
His case drew broad sympathy, including from then US president Donald Trump and Pope Francis, while 350,000 people signed a petition demanding he be allowed to go to the United States.