“That investigation is done by police, they deal with that,” Brigadier Hangwani Mulaudzi said.
He said the Hawks were however looking into the matter of whether Sibiya needed any assistance.
“We have requested the Gauteng office to look into the matter and find out if there is any assistance the general would require irrespective of the issues which are happening now.
“We are bound to make sure we look after our members,” Mulaudzi said.
Sibiya was injured on Monday when the car he and his lawyer Victor Nkwashu were travelling in overturned and rolled.
Sibiya is fighting his suspension in court. He and suspended national Hawks head Anwa Dramat are accused of orchestrating the rendition of five Zimbabwean men in 2010.
The five, including Witness Ndeya, Gordon Dube and Pritchard Tshuma, were illegally repatriated to Zimbabwe by the Hawks. Proper extradition processes were not followed and Ndeya and Dube were killed, allegedly by Zimbabwean police.
In an initial report, the Independent Police Investigative Directorate found Hawks boss Anwa Dramat and Sibiya were directly involved in the renditions. According to a final report, compiled in March 2014, they were cleared on the basis of additional evidence.
City Press on Sunday reported that the Hawks was investigating a case of reckless and negligent driving against Sibiya and also how he managed to afford his BMW X6.
Mulaudzi said the Hawks would not comment on the report.
“We don’t want to even venture into that,” he said.
“We not involved in some sort of witch-hunt.”