The ANC has told President Thabo Mbeki he must attend national executive meetings.
This was after he attended the first NEC lekgotla since he and most of his ministers were removed from the leadership of the ANC last month.
At the lekgotla it was made clear to him that he must regularly attend NEC meetings to account for how the government is implementing ANC policy, the Sunday Times said.
"If he is failing to honour that obligation, we have no choice but to dismiss him," one NEC member reportedly said.
The newspaper also reported that the NEC was planning to deploy cabinet ministers to 20 ANC subcommittees dealing with various policies.
It was also made clear to the president that the investigation unit of the national prosecuting authority, the Scorpions, must be incorporated into the police by June.
During the lekgotla, which started on Friday, several NEC members said they would like Motlanthe to be elevated to the deputy presidency.
The plan has the backing of supporters of both Mbeki and Zuma, the Sunday Times said.
An NEC member said that Mbeki's presidency would have to be restructured to ensure that the top six leaders of the ANC were represented in the executive of the country.
"The presidency is very important because Mbeki has made it very powerful.
"If you appoint [Motlanthe] as the country's deputy president, then he can prevail and create a balance," said the NEC member.
On Saturday Mbeki led a delegation from his cabinet to the NEC lekgotla, where they delivered reports on the government's progress in improving the living standards of South Africans. - Sapa