Resources giant Anglo American was "looking closely" at the possibility of appointing a black deputy chairperson, Business Day reported on Tuesday.
It cited company spokesperson James Wyatt-Tilby as its source.
Earlier this month Anglo "caused a stir in local political circles" by appointing Sir John Parker as its new chairperson to replace retiring Sir Mark Moody-Stuart, the newspaper said.
The announcement came a day after Mineral Resources Minister Susan Shabangu said she would like Anglo to appoint a black South African chairperson.
Reacting to the appointment, Sandile Nogxina, director general of the Department of Mines said he was disappointed and hoped Anglo would at least appoint a black deputy chairperson.
Last week one of Anglo's most senior black executives, Anglo American SA head Kuseni Dlamini, left the group to become CE of Old Mutual SA.
Parker said in an official company interview posted on Anglo's website that it was inappropriate for him to comment on the issue of a black chairperson for Anglo, but the board did include non-executive directors from Europe, Asia and SA, Business Day said.