Mathebula – who has been recovering from a knee injury – has not seen any action this season and Swallows say they will not risk the player on the field as he is not yet fully fit for action.
Tsutsulupa is concerned that the team will lack the creative spark that has become the hallmark of an in form Mathebula.
Mathebula was one of the stand-out players for Swallows last season, winning the KICK OFF Footballer of the Season award.
He scored 10 League goals and was a major driving force during a season that almost saw Swallows win their first ever Premiership title.
"There is no doubt that he [Mathebula] is a special player," says Tsutsulupa.
"The team has been missing his creativity and flair but we are also aware that we have to give him enough time to fully recover.
"He is a quality player but we still have enough depth in the side to do well. We cannot use his absence as an excuse," adds Tstutsulupa.