The club on Saturday provided an update on their official website, stating that the 31-year-old is "out with a knee injury and is undergoing treatment".
However, it does not state the exact extent of the injury or how long the former SuperSport United defender will be unavailable for.
Gaxa has seen his place in Steve Komphela's side taken by Kgotso Moleko in recent weeks, having last played in their 2-1 league win over Matsatsantsa, and will now have to wait a while longer before he can fight to reclaim his position in the Amakhosi backline.
With their next fixture only two weeks away, due to their non-participation in the Nedbank Cup, Komphela will have some time to plot his side's resurgance following five-match winless streak.
The Glamour Boys are currently fourth on the Absa Premiership log, with 39 points from 23 games, and trail leaders Mamelodi Sundowns by 13 points.