The 27-year-old, who is on Cape Town City's radar, will be free to sign a pre-contract in the new year with any team as he enters the final six months of his deal with Chiefs.
Khuzwayo's agent Tim Sukazi says they will assess their options next month.
"Yes, it's true that Brilliant's contract is coming to an end," says Sukazi.
"So far we have managed to push away all enquiries on him and we can only start entertaining any interest in January next year, and we will then take it from there."
The highly-rated Khuzwayo earlier in the season hinted on social media that he wants regular game-time. The Durban-born keeper has played second fiddle to Bafana Bafana number one Itumeleng Khune since arriving at Naturena in 2012.