The Electoral Court would sit for the application in Johannesburg on Tuesday.
The parties calling for Tlakula’s resignation are the United Democratic Movement, the African Christian Democratic Party, the Congress of the People, Agang SA, and the Economic Freedom Fighters.
This follows a forensic investigation by the National Treasury on the procurement of the Electoral Commission of SA’s (IEC) Riverside Office Park building in Centurion, Pretoria.
The probe found the process was neither fair, transparent, nor cost-effective. It found Tlakula did not give guidance or formally inform various people what was expected of them in the process.
Tlakula has maintained that she was not accused of corruption in the report.
The Treasury’s report followed a recommendation by Public Protector Thuli Madonsela in her own report into the matter, released in August 2013.