"These are very excellent doctors who are dealing with him," Zuma said in a joint press conference with Obama.
"We hope that very soon he will be out of hospital," he added.
Zuma called Mandela the "founding president of our democracy who is much loved by our people and the world".
Meanwhile, US President Barack Obama, who here on an official visit, decided against a personal visit with Mandela, delivering his respects in a private meeting with his family.
"I reaffirmed the profound impact that (Mandela's) legacy has had in building a free South Africa, and in inspiring people around the world, including me," Obama said in a statement after the visit.
"That's a legacy that we must all honour in our own lives."
Obama also spoke by telephone to Graca Machel, who has been at the bedside of her 94-year-old husband since he was admitted to the hospital with a recurring lung ailment on June 8.
Obama decided not to visit his hero in hospital to preserve the "peace and comfort" of the legendary leader.
Obama also met President Zuma and enquired about Mandela's health.
"The triumph of Nelson Mandela and this nation speaks to something very deep in the human spirit," Obama said after talks with Zuma.
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