Khune suffered a strain during Chiefs’ Nedbank Cup quarter-final clash against SuperSport United last month, where Amakhosi lost 5-3 on penalties after a 1-1 draw after extra time.
Khune was replaced by Bruce Bvuma for the next two league games, a loss against Cape Town City and a draw at SuperSport United, during which the young goalkeeper conceded five goals.
The Glamour Boys will now be keen to have their talismanic captain back in the starting XI and could get their wish this weekend.
“Khune has started training,” Komphela told the media during the Carling Black Label Champion Cup media Launch at Park Station in Johannesburg.
“He started training and I’m sure we will get fit back [from the medical team], but he should be back.”
When asked if the skipper will be available for Saturday’s game, Komphela said he is hopeful that Amakhosi fans will see him against Arrows, but also praised Bvuma’s display in the last two games he played in Khune’s absence.
“Hopefully [Khune will be back on Saturday], but I must say Bvuma has done tremendously well, that I must say up front,” Komphela added.