The Hawks say two more suspects, in the case involving Durban businessman Thoshan Panday, are still at large. Warrants of arrest have been issued for the suspects.
The African National Congress (ANC) in the Free State has denied reports that Social Development MEC Mamiki Qabathe has handed herself over to the police.
The Hawks and the Special Investigating Unit are searching for more suspects believed to be linked to the multi-million rand asbestos investigation in the Free State.
The Hawks are in the process of arresting several people in Gauteng, Free State and KwaZulu-Natal, following evidence at the State Capture Commission relating to the 2014 Free State Asbestos Project.