Eskom announced on Saturday morning that no load shedding is expected during the day.
"However, owing to the constrained and vulnerable system there is a limited risk of load shedding in the evening and on Sunday," the utility said.
"Thanks to some good work overnight from our teams, we have been able to deliver an improvement in the power system."
Eskom said the water in its pumped storage schemes have been sufficiently replenished.
But there were still breakdowns of more than 13,000MW as at 06:30 on Saturday morning.
Eskom has not managed to keep unplanned breakdowns at below 9,500MW - the level at which it is forced to consider loadshedding - for a single day since December 4, 2019.
Unexpected bouts of loadshedding in January - a time of low electricity demand - was triggered by the failure of a conveyor belt feeding coal from Exxaro’s Grootegeluk mine to the Medupi power station in Lephalale, Limpopo.
On Friday evening, Eskom chair Jabu Mabuza unexpectedly resigned.
"In his resignation letter, Mabuza apologised for Eskom's inability to meet the commitment it made to the president, the deputy president and the relevant ministers at a meeting on December 11th 2019 to avoid load shedding over this period," president Cyril Rampahosa said in a statement.
On Wednesday, deputy president David Mabuza said Ramaphosa was misled when he was told there would be no load shedding before the January 13.
Instead, South Africa has been hit by prolonged load shedding in December and January.