A three-member bench in Lahore has accepted the Christian woman's appeal and has ordered all records pertaining to the case to be presented before it.
In her petition, the 50-year-old woman has claimed that she had not made any blasphemous remarks, and rather residents of her neighbourhood had leveled the blasphemy allegations against her based on a personal feud.
Mother of five children, Asia Bibi has been on death row since November 2010 after being convicted of committing blasphemy during an argument with a Muslim woman over a bowl of water in 2009.
Despite denying the charge, she was arrested and imprisoned before she was sentenced to death a year later.
If the sentence is carried out she'd be the first women to be lawfully killed for blasphemy in Pakistan.
Despite widespread calls from the international community for her release, she remains in prison with claims she's suffered abuse by fellow prisoners.
Asia Bibi's family are being supported by the British Pakistani Christian Association.
Listen to Wilson Chowdhry from the BPCA speaking to Premier's Marcus Jones: