Saturday's 1-0 loss to Moroccan outfit Raja Casablanca in the CAF Champions League condemned Stuart Baxter's side to successive defeats for the first time this season following last week's shock defeat to relegation-threatened Black Aces.
Despite their recent slip-ups, Amakhosi are still sitting pretty atop the Premiership table and currently lead second-placed Mamelodi Sundowns by eight points heading into the clash at Dobsonville Stadium.
However, having played a game more than Sundowns, they could find themselves under serious pressure should they fail to win on Wednesday and the Brazilians beat Chippa in one of Wednesday's other fixtures.
With the situation deteriorating in the Dube Birds camp, Fani Madida has since handed in his resignation as manager, leaving former club captain Patrick Mabedi in charge of the side as caretaker.
A win on debut for Mabedi will see Swallows climb as high as 15th in the table, though the Dube Birds have not managed a victory over Chiefs since 2009 and have lost seven of their last nine encounters with their Soweto rivals.