If the parties can't come to an agreement by 16:00 on 22 August, the original order will stand.
President Jacob Zuma’s lawyers conceded earlier on Friday that there was no legal basis to keep the so-called spy tapes secret.
Zuma’s lawyers were appealing against a North Gauteng High Court decision ordering the NPA to hand over a copy of the tapes, Sapa reported.
In papers filed at the SCA, Zuma argues his vigilance in the matter is because the Democratic Alliance is the entity seeking disclosure.
He said that he wanted to keep his communications with the NPA in the so-called spy tapes case secret because the DA could use it against him.
The tapes, transcripts, and other documents, relate to a decision the NPA took in 2009 to drop corruption charges against Zuma.
In papers filed as part of the appeal, Zuma maintains his representations to the NPA were made on a confidential basis.
Zuma contends that as president, political leader, and member of the African National Congress, he would be the DA's natural target.
The DA in response will ask the SCA to decide whether the high court order forcing the NPA to give a copy of the tapes to the court registrar was appealable.
The high court held, in granting leave to appeal its order, that the parties had different interpretations of the order.
The matter required the SCA to decide on the final interpretations, the court said.