Letlabika was rushed to a hospital in Pretoria after suffering concussion following a head collision with Sundowns midfielder Hlompho Kekana.
The former Sundowns youth development player was booked out of action for two weeks due to the injury, but the good news is that Letlabika has now recovered.
Phunya Sele Sele physiotherapist Tebogo Sethunya has confirmed that the defender has been given the green light to start training.
"He is back, but at the moment he is doing light training," Sethunya tells KickOff.com.
Celtic are set to take on Golden Arrows in the Nedbank Cup quarter-finals in Bloemfontein on Saturday. Kick-off at Dr Molemela Stadium is at 15h00.