Judge Elias Matojane said on Monday that he hoped to deliver judgment in the application early on Friday morning.
Sibiya wants the court to declare his suspension on January 20 illegal, unconstitutional and invalid.
He wants declared invalid the appointment of Maj-Gen Elias Dlamini to replace him as acting Gauteng boss of the Directorate for Priority Crime Investigations.
In court papers, Sibiya accused the acting national head of the Hawks, Maj-Gen Berning Ntlemeza, of being motivated by the desire to take revenge on behalf of his “ally”, suspended police crime intelligence head Lt-Gen Richard Mdluli.
Ntlemeza suspended Sibiya pending an investigation into his alleged role in the illegal rendition of Zimbabweans to that country’s police in 2010.
Sibiya claimed in an affidavit that the Independent Police Investigative Directorate had exonerated him from any involvement in the rendition and he did not know why he was suspended.