Ramaphosa will meet the women's league today, when he is expected to give it an assurance that women will be in the majority in his cabinet, but make no commitment about Dlamini's fate.
"He will say to the women's league, are you fighting for all women or are you fighting for an individual? He's going to show them that the majority of his cabinet will be women," said the source, who sits in the ANC national working committee and has intimate knowledge of discussions about the new cabinet.
Other influential insiders in the president's inner circle said he is adamant the women's ministry must remain, however.
Those who are assured a spot in Ramaphosa's cabinet include fresh faces such as David Masondo, Ronald Lamola and Zizi Kodwa. ANC elections head Fikile Mbalula is also set for a return to the cabinet, this time as human settlements minister.
Contacted yesterday, Dlamini said she would not comment on her possible axing from the cabinet.
"I will do what the ANC says I must do. I don't want to speak further than this because the feeling is when I respond I am arrogant and defensive," she said to the Sunday Times.
Dlamini said the fight for a balanced cabinet "is not a fight for ourselves but it is a fight for other women".
She confirmed that the women's league is expected to meet today to discuss gender parity in the cabinet.
"We are going to be talking to the officials on Sunday after our meeting," said Dlamini.
Dlamini took a swipe at the ANC for how it has handled the deployment of premiers. She said discussions about women empowerment and development take place in the party "as if men are natural leaders". The criteria for leadership, she said, do not accommodate women.