UK government plans to have been put on hold until a new Conservative Party leader is chosen, according to media reports on Tuesday.
The High Court announced that a hearing into the controversial policy, ", will be pushed back to September, rescheduling the original July 19 court date.
By September, the UK Conservative Party will have selected a new leader following Boris Johnson's resignation, triggered by a series of scandals over his and his government's egregious behaviour.
Refugee campaigners celebrated the decision to delay court proceedings, saying it will give individuals affected by the policy more time to prepare.
"This is a win for due process and fairness. Individuals affected and our legal teams now have the time they need to prepare their substantial cases," said Detention Action, a UK organisation, on Twitter.
Care4Calais, a charity working closely with asylum seekers stuck in limbo in northern France, said: "This is good news, as it gives us more time to prepare.
"We are incredibly relieved to hear that those currently in detention must now be released."
The UK Home Office is likely to have to release more than 50 migrants currently in detention waiting for a potential deportation order, reported The Times. Individuals can only be detained if there is a "reasonable" prospect of them being removed imminently.
The formally announced plans to send asylum seekers to Rwanda in April, defending the policy as a way to tackle human trafficking.
Last month, the first flight to the north African country was grounded at the last-minute due to an intervention by theJohnson's administration said they were undeterred by the ECHR ruling and would press on with implementing the policy.
Following Johnson's resignation last week, all said they supported the plan, with ex-Health Minister Jeremy Hunt suggesting new deportation locations could be explored.
Organisations such as Care4Calais, Detention Action and other refugee campaign groups have denounced the scheme, saying it will target vulnerable people without offering for asylum seekers to come to the UK.