Dhieu said SPOC is still pumping 200,000 barrels of crude oil per day in Upper Nile State.
He however announced temporary stoppage of crude production in oil fields in Unity State following escalation of the violence there.
Last week, rebels in Unity State announced to have taken the full control of the oil fields in the state.
South Sudan, following resumption of oil production in April this year, after over a year of halt, pumps 220,000 barrels of crude oil per day.
South Sudan economy mainly relies on oil production.
Unless efforts on peace talks between government and rebels mediated by the Intergovernmental Authority on Development (IGAD) yields fruits, the crisis threatens the oil production.