Oscar Pistorius’ lawyers said the prosecution could not appeal his acquittal on murder charges.
In December, Judge Tocosile Masipa ruled that prosecutors could appeal the acquittal.
She had sentenced the South African athlete to five years in prison on a lesser charge of murder or manslaughter.
Oscar Pistorius shot his girlfriend Riva Steenkamp in February 2013.
He said he considered her a thief, while prosecutors say he shot her after a scandal at his luxury home in the capital, Pretoria.
The double-amputated athlete was acquitted by Judge Tocosile Masipa for both premeditated murder and the lesser charge of murdering dolus eventualis, also known as common law murder.
In South African law, this charge applies if the accused knew that he could kill someone, but nevertheless continued to act.
Prosecutors allege that Judge Tocosile Masipa misinterpreted the law when she cleared Pistorius of murder on the grounds that he did not intentionally shoot Reeva Steenkamp.
Giving them permission to appeal in December, the judge said: “I can’t say … that the prospect of success in the Supreme Court of Appeal is far away.”
On March 13, Oscar Pistorius’ lawyers will appear before Judge Tocosile Masipa and intend to cite previous cases to support their argument that the appeal should not be allowed.