Amakhosi veteran Siphiwe Tshabalala marked his 300th appearance for the club with a double, scoring either side of Mandla Masango’s equaliser, although Aubrey Modiba’s deflected shot on 90 minutes meant a share of the spoils.
The result left the Glamour Boys still in fourth, four points behind leaders Cape Town City with four games remaining, while SuperSport are in fifth, nine points from the summit and seven from a CAF position.
United twice came close in the opening 10 minutes as Bruce Bvuma first needed to just get ahead of Michael Boxall to punch a dangerous delivery clear, before Clayton Daniels met a corner on the volley, only to see Tsepo Masilela clear off the line.
It would be Chiefs, though, who opened the scoring, and in brilliant fashion as Tshabalala marked his 300th game for Chiefs with a sublime goal, dinking a 20-yard chip over the backtracking Reyaad Pieterse and into the back of the net.
Joseph Molangoane looked destined to make it 2-0 with less than a quarter of the match gone after Tshabalala had squared the ball in the box to set up the chance on a plate, only for the forward to fire straight at the goalkeeper.
Chiefs were made to pay for that miss as SuperSport drew themselves level moments later, Reneilwe Letshonlonyane playing a wonderful ball through for Mandla Masango, who opened his body before curling a sumptuous effort past the keeper.
Ten minutes before the break, though, Steve Komphela’s men regained their lead as Ramahlwe Mphahlele broke down the channel before squaring the perfect ball back to find Tshabalala on the penalty spot, with the midfielder taking one touch to open the angle before slotting into the bottom corner.
Ramahlwe Mphahlele was proving a key outlet for Chiefs on the right after twice working decent chances to get the ball into the area, although both opportunities eventually went begging after failing to pick out a team-mate.
Amakhosi were then dealt a blow on the hour mark as two-goal hero Tshabalala needed to come off after seemingly picking up a thigh strain, although it did little to setback Chiefs as they continued pressing, William Twala coming close to an instant impact from the bench but firing into the side-netting from close range.
Molangoane had a great chance to put the game to bed with 12 minutes remaining after Gustavo Paez picked out his run with an excellent blind pass to play his team-mate through, only for the forward to drag his shot agonisingly wide of the post.
Chiefs then had Bvuma to thank for the points in the final minutes as the goalkeeper tore off his line to make a perfectly-time challenge to nip the ball off the toes of Thuso Phala after he had broken free behind the defence.
However, with 90 minutes gone the hosts got their equaliser, albeit in fortunate circumstances as Daniels’ delivery deflected into the path of Aubrey Modiba, whose shot looked to be going wide, only for Masilela to chest the ball past the keeper and into the back of his own net.