Matsatsantsa have lost their last three Absa Premiership games, most recently going down 1-0 to champions Mamelodi Sundowns at Lucas Moripe Stadium on Wednesday night.
SuperSport, who were thumped 5-0 in the reverse fixture last week, are six points shy of log leaders Cape Town City with seven league matches left for Baxter's men.
United are also active in the CAF Confederation Cup, while their Nedbank Cup defence is on track as they prepare to face Kaizer Chiefs in the quarter-finals on Saturday.
Baxter told SuperSport TV: "We have to lick our wounds, sharpen our knives and tighten our belts. We have to make sure we run this season out as best we can, you never know. There are twists in the tale and maybe, maybe we can get in through the back door."
The Brit was naturally disappointed his side conceded a late goal against the Brazilians, as Hlompho Kekana nodded in a free-kick from Teko Modise in the 83rd minute.
"This is what wins and loses games of football. We knew we could afford to give them possession in some areas. But then the discipline on a set-play, a free-kick ... yeah, you can have your opinions on whether it is a free-kick, but you have to defend it and we didn't, and that is what cost us the game."