Madikizela-Mandela approached the SCA to overturn a 2016 decision by the Eastern Cape High Court in Mthatha, which dismissed her application to acquire Mandela's home in Qunu.
Cyril Ramaphosa says the party must end infighting.
The NEC was eventually given permission to visit the site, but only in February.
Madikizela-Mandela "maintains that the property is rightfully hers".
Nelson Mandela has been laid to rest in the remote South African village where he grew up. More than 4,000 people, including
Retired Archbishop Desmond Tutu will join scores of dignitaries from around the world tomorrow for the funeral of Nelson