Sowetan has also learnt that Lekganyane and former ANC Youth League leader Lehlogonolo Masoga may contest each other for the secretary's position. This may scupper the unity project.
Outgoing ANC provincial secretary Nocks Seabi said "comrades would be able to find each other if there was a negotiated leadership slate".
"Unity is still the main issue facing the ANC in the province. Anything that would unite the ANC would be welcomed," he said.
ANC Youth League provincial secretary Che Selane said: "We are tired of harming the ANC. People can't invest in an organisation characterised by infighting."
SACP provincial secretary Gilbert Kganyago said the ANC should do away with factions.
"The ANC can only count on us for a leadership that is not an association of factions. If the ANC wants to do away with factions the first step is not to recognise such factions," Kganyago said.
The SACP is not backing Lekganyane, who is also the pary's former secretary.
Kganyago said: "Over our dead bodies. He has hurt the SACP badly. He embarrassed the SACP leaders nationally."