Mathebula was one of the stand-out players for Swallows' last season, winning the KICK OFF Footballer of the Season award, and his absence will be lamented by the Dube Birds' fans.
Also ruled out is Luvhengo Mungomeni, who is suspended after receiving a red card against Platinum Stars at the end of last season.
Despite Mathebula and Mungomeni's absence, Zeca Marques says he will field a strong team against Usuthu at Dobsonville Stadium.
"Mathebula's injury is not serious, and he should be back in a week or so," the coach says. "We don't want to rush him and take chances as we still have a long season to play.
"But everybody is upbeat for the game against AmaZulu and we will come with a very strong team on Sunday."