Johannesburg - Eskom is hopeful that power cuts would not become necessary on Monday evening.
The power system remained constrained, but stable just before 17:00, Eskom's media desk said.
Earlier, spokesperson Khulu Phasiwe said Eskom had been able thus far to meet rising demand for power as many businesses reopened on Monday following the festive season.
"Our aspiration is not to implement load shedding at any given point."
On Friday stage one rolling blackouts were implemented from 11:00 to just after 17:00 as demand for electricity exceeded supply. Stage one allows for up to 1 000MW of the national load to be shed.
Phasiwe urged consumers to use electricity sparingly to help reduce demand.
"Because we’re operating an old power system which is prone to technical failures, any extra load or faults in the system may necessitate the need to implement load shedding."
The City of Cape Town said on Monday it would change its rolling blackout schedule, which had been in place since 2008, from February 1.
"With this new schedule, the city will ensure that residents always experience scheduled power outages at a different time and weekday than before, thereby rotating the inconvenience of power outages across all supply areas," mayoral committee member for utility services Ernest Sonnenberg said.