With his contract set to come to an end in June, Khuzwayo is free to speak to interested parties from Monday onwards without informing his current employers.
Although he seems to be happy at Chiefs, the 27-year-old shot stopper has been playing second fiddle to Itumeleng Khune since joining Amakhosi in 2012.
Khuzwayo, who has made two appearances this season against Bloemfontein Celtic and SuperSport United, could be attracted by the thought of playing regularly, especially with City struggling for consistency in the goalkeeping department.
Shuaib Walters and Sage Stephens have both been given a chance to play by coach Benni McCarthy this season, but they have not always been convincing.
Playing regularly also opens the door to getting a national team call-up for Khuzwayo, who was included in the Bafana squad a few times under former coach Shakes Mashaba.
Asked if he will be chasing Khuzwayo in January, Comitis said: "As I said, on the first of January I'm allowed to do certain things and I will do what I need to do. Then we'll see what happens. Until then I can't talk about it," Comitis tells KickOff.com.
Chiefs, though, are keen to keep the goalkeeper on board and will no doubt be trying to convince him to stay.