"We must all be planning what to do next month in marking our 67 minutes of doing good for humanity as called upon by Madiba to do so, when he launched the International Mandela Day campaign," Zuma said.
"Let us make it the biggest Mandela Day ever on the 18th of July, focusing on doing good all over the country."
Since 2009, people around the world have been doing volunteer work for 67 minutes, signifying the number of years Mandela had spent until then to bring democracy to South Africa in 1994.
The latest update from the Presidency this afternoon said the iconic leader's condition remains unchanged in hospital and doctors continue to do their best to ensure his recovery, well-being and comfort.
More From This Section
Mandela has been in hospital since June 8 for a recurring lung infection.
As Zuma continued to urge that Mandela and his family be accorded the necessary sensitivity, dignity and privacy at this time, Presidency spokesman Mac Maharaj said some reports around former president's health have crossed the boundaries of medical ethics.
Maharaj said Mandela's privacy and dignity was at stake by doing this.
"The doctors have indicated very firmly that some of the reporting is transgressing on medicals ethics, not just in relation to doctor/patient confidentially, but in relation to the way in which doctors are being interviewed for their opinion," Maharaj said.