In a statement, the association said that it had made interventions in providing capital to businesses affected by the violence, with government committing to stand in as its insurer as a last resort.
The state-owned insurance company estimates the total number of claims will reach between R19bn and R20bn, with Treasury indicating that additional funds will be disbursed to the insurer.
Sasria managing director Cedric Masondo said there are ongoing discussions about how the insurer can be "future proof ready and acknowledge the lessons learnt" from the unrest.
The South African Special Risk Insurance Association (Sasria) has reiterated that it has sufficient reserves to pay all valid claims from the July unrest.