While the Buccaneers saw off Siwelele 1-0 in their last 16 clash on Saturday, Magesi overcame AmaZulu 3-2 on Sunday.
Marumo Gallants will, meanwhile, face Stellenbosch after seeing off Mamelodi Sundowns on penalties as Stellies saw off Kaizer Chiefs, also from a shootout at the end of the game.
Richards Bay defeated Chippa United 4-1 and will next face Durban City, who recorded a 4-1 win over Polokwane City.
Golden Arrows overcame Sekhukhune United 3-1 and will face TS Galaxy, who edged Orbit College 1-0 in extra-time.
All quarter-finals fixtures:
Golden Arrows vs TS Galaxy
Marumo Gallants vs Stellenbosch
Orlando Pirates vs Magesi
Richards Bay vs Durban City
Orlando Pirates clinched the Carling Knockout Cup in dramatic fashion at the New Peter Mokaba Stadium, edging Marumo Gallants 1-0 after extra time to secure their second trophy of the season.
Marumo Gallants' goalkeeper Washington Arubi says his side is comfortable being labelled the underdogs ahead of Saturday's Carling Knockout final against Orlando Pirates.
Orlando Pirates face Marumo Gallants in the Carling Knockout Cup final at Peter Mokaba Stadium on Saturday as they attempt to win their second trophy this season.
Orlando Pirates captain Nkosinathi Sibisi is keeping his focus sharply on the Carling Knockout Cup title as his team tops the Betway Premiership table with 28 points after 12 games.
