The Amakhosi came into the match off the back of a fine 2-0 win over BidVest Wits in midweek, a result that had eased the pressure somewhat on Muhsin Ertugral, but the coach will be under fire once again following this defeat.
Mozambican midfielder Elias Pelembe scored the game's only goal on the stroke of half time, cutting inside onto his left foot and firing a low drive into the bottom corner of the net.
Chiefs wasted a huge number of scoring opportunities throughout the match, a sight that has become all too common this season from the Amakhosi.
In truth the Amakhosi never looked like troubling United, such was their lack of composure in attack.
The three points for SuperSport sees them move within striking distance of leaders Ajax Cape Town, although the Urban Warriors will have a chance to restore their lead when they take on Jomo Cosmos on Sunday.