The LOC are aiming to sell at least 500,000 tickets before the competition kicks off.
"We are nearing the 40,000 mark, in terms of tickets that have been sold for the matches," Afcon chief communications officer Sipho Sithole tells KickOff.com.
LOC chairperson and Safa vice president, Chief Mwelo Nonkonyane, encouraged South Africans to avoid waiting until the last minute to purchase their tickets.
Nonkonyane was speaking in Rustenburg during a flag-raising and inter-faith prayer ceremony being held at all host cities to mark Afcon week.
"All Africans must fill up all the stadiums and feel at home. We also encourage South African to be hospitable to our visitors by making them feel welcome," Nonkonyane says.
Fans are still able to purchase tickets for all games, with prices ranging from R60 in the group stages to R600 for the Final.