The ANC has to find a replacement before the sitting of the provincial legislature on Friday.
While the former president is not the public face of the party, he is said to have given it his blessing.
Senior ANC leaders might use the meeting to call for a special NEC meeting, to discuss Mahumapelo's removal.
The ANC says it does not want to be seen to be supporting corruption or state capture.
There is speculation that the top six will discuss changes to the Cabinet on Monday.
Finance Minister Malusi Gigaba told CNN that JZ will be removed by Parliament if he does not go voluntarily.
President Jacob Zuma has reportedly been recalled by the ANC and has 48 hours to resign as state president.
President Jacob Zuma is expected to resign during an NEC meeting on Monday, as the ANC faces mounting pressure to finalise his exit from office.
Pierre de Vos says there does not seem to be a reason for Ramaphosa to negotiate Zuma's exit with him.
Our president seems determined to leave office on his own terms and not under instructions by the ANC.