The IPID boss claims that Nhleko is putting pressure on the police complaints body.
The Hawks have declared that they are not formally investigating Safa or Jordaan over allegations that a $10-million bribe was paid to Fifa.
A request from an opposition party has prompted the Hawks to begin a preliminary investigation into the $10-million Fifa bribe.
The public has every right to know why the head of the Hawks resigned and what the terms were.
Anwa Dramat is holding out for more but police watchdog head Robert McBride is fighting back.
High Court Judge Elias Matojane said Berning Ntlemeza's behaviour was "biased, lacks integrity and honour" after he made false statements under oath.
The four are suspected of being involved in the illegal rendition of Zimbabweans in 2010 - the same as Shadrack Sibiya and Anwa Dramat.
Judge Elias Matojane said the suspension served on Major-General Shadrack Sibiya in January was invalid and unlawful.
Anwa Dramat, suspended Hawks boss, will be on leave while his and Police Minister Nathi Nhleko's lawyers try to come to some sort of agreement.
The ruling, which is seen as a "resounding victory for the Constitution", must remain in force throughout the police ministry's appeal process.
Suspended Gauteng Hawks boss Shadrack Sibiya says his role in the investigation into Richard Mdluli was motivation for his suspension.
The police minister's request to have suspended Hawks head Anwa Dramat removed from office has been referred to the speaker of Parliament.
Hawks commander Anwa Dramat is reported to believe he will be assassinated unless he walks away quietly.
Police Minister Nathi Nhleko has insisted he was right in suspending Hawks boss Anwa Dramat - and any objection to his decision is racist.
The Helen Suzman Foundation has launched an urgent application for the enforcement of the order reinstating Hawks head Anwa Dramat.
Police Minister Nkosinathi Nhleko's lawyer said the papers "should be served" on Friday.
The foundation on Friday welcomed the Pretoria high court ruling that the police cannot unilaterally suspend Hawks boss Anwa Dramat.
Independent Newspapers rejected Max du Preez's reasons for quitting as a columnist, after he penned an open resignation letter to its editors.