The Clever Boys netted the opening goal after 38 seconds, Simon Murray pivoting well to volley home a loose ball in the Stars area after a clinical buildup from the visitors.
Wits looked rampant in the opening exchanges, Cole Alexander and Murray each having good chances to extend their lead within the opening 10 minutes.
The hosts looked for a way back into the encounter but were unable to make progress past an impressive-looking Bidvest back four.
Deon Hotto had the arguably the best chance to extend the Braamfontein outfits lead after a nice touch around the corner from Murray found him through on goal with on the keeper to beat, but his effort was blasted over the bar from close range.
Wits continued to dominate the half with Stars playing on the occasional break, or looking to play long.
The home side looked relieved at the sound of the half time whistle, doing little to trouble Keet in the first half.
Gavin Hunt’s men looked as fluid in the second half as they had in the first, applying pressure and searching for their second goal.
The hosts found confidence in holding off the waves of pressure and began expressing themselves heading towards the hour mark.
Dlamini was denied by the upright in the 54th minute, his shot from range clattered the post with Keet lucky to collect the rebound off his back.
Stars were to be denied by the frame of the goal again in the 79th minute. Moseamedi unleashed a rocket from outside the area that looked to have the beating of Keet but it crashed into the crossbar, the followup header was put over the bar, to the frustration of the hosts.
Wits continued to look for a second but late flurries from both sides proved fruitless. The win sees Bidvest Wits advance to the last eight and with confidence in their chances at defending their title.