Australia's highest court will hear for the first time a case of a dog on death row.

The long-running legal battle to save Izzy the Staffordshire terrier from being put down will go before the High Court, most likely in April.

Izzy and her owner Tania Isbester's seven-year-old daughter Tahliya.

Izzy's owner, Tania Isbester, was on Friday granted leave to appeal to the High Court by justices Kenneth Hayne and Geoffrey Nettle after the Victorian Court of Appeal last year ruled against her.

Ms Isbester, a mother of five, took her case to Victoria's highest court after a Knox City Council panel decided Izzy be destroyed for biting a woman after the dog escaped from its owner's backyard in The Basin. Ms Isbester took her case to the High Court after the Court of Appeal ruled against her.