Dove Wome scored the only goal of the match on the stroke of half time and it was enough to give Matsatsantsa a Pitori all three points and to return them to winning ways.
Swallows are now without a win in their last five matches, with four losses and a draw.
SuperSport were looking to bounce back from their 4-1 humiliation against Maritzburg United in their last league match at home, in what was Gordon Igesund’s first defeat since he took over at the club two months ago.
Swallows, meanwhile, were searching for their first victory under caretaker coach Fani Madida who replaced Zeca Marques last month.
It was the visitors who opened the scoring three minutes before the interval and that proved to be enough for the side to walk away with all the points.
Wome blasted his shot from a tight angle to grab the only goal of the match against the run of play.
The goal took the Togolese international’s tally to four for Matsatsantsa a Pitori this season since he made a switch from Pretoria rivals Mamelodi Sundowns.
Swallows came back strong in the second half looking for the equaliser, but could not breach the SuperSport defence and keeper Ronwen Williams made a number of important saves.
Looking for the equaliser, Swallows threw everything at their opponents, but could not find a way through a stubborn SuperSport defence.