"Madiba's condition remains critical and is at times unstable," the South African president's office said on Sunday, referring to the 95-year-old Mandela by his clan name.
"His team of doctors are convinced that he will receive the same level of intensive care at his Houghton [in Johannesburg] home that he received in Pretoria," the statement said.
This comes after a weekend statement by a family member that he had been discharged was denied by Mac Maharaj, the presidential spokesperson.
Mandela had been receiving medical treatment in a Pretoria hospital for almost three months since June 8.
Al Jazeera's Tania Page, reporting from Johannesburg, said there are hopes that there will be some sort of recovery.
"This is a very gravely ill man, but [the presidency] has gone to great pains to explain that he will be receiving full medical support at his home," she said.
She said the president's office had avoided getting into details out of respect for Mandela and his family.
