Chiefs bounced back to winning ways in the league with a 1-0 victory over derby rivals Orlando Pirates on Saturday.
The Soweto giants are unbeaten at home this season with seven wins and two draws from nine matches.
Their next three league opponents are Mpumalanga Black Aces (home), Moroka Swallows (away) and Golden Arrows (home).
The Amakhosi are placed first on the Absa Premiership log with 46 points from 21 matches.
Ajax have drawn three of their last four league matches and were held to a goalless draw by University of Pretoria on Sunday.
The Cape side has claimed seven points from their 10 away matches so far this season.
Their next three league opponents are Bidvest Wits (away), Mamelodi Sundowns and Mpumalanga Black Aces (both home).
The Urban Warriors are placed 10th on the Absa Premiership log with 28 points from 22 matches.
In head-to-head stats, Chiefs and Ajax have met in 29 league matches since 1999/2000.
The Amakhosi have 11 wins compared to nine for the Urban Warriors, while nine matches have been drawn.
Chiefs have won eight of their 14 home matches against Ajax, suffering just two defeats in the process.
When the teams met earlier this season in Cape Town, the Urban Warriors claimed a 1-0 win.