The students are unbeaten in League Two this season and took care of Jets, who are struggling in League One, in straight sets, 25-18, 25-18, 25-9.
They now face South Ayrshire, flying high in the SVL Premier, in the quarter-finals.
City of Edinburgh, the 2016 winners, also reached the last eight with a 25-13, 22-25, 25-20, 25-19 win at Volleyball Aberdeen and travel to Lenzie in the next round.
In the fourth round of the women’s Scottish Cup, City of Edinburgh set up a home quarter-final with Caledonia West by overcoming Volleyball Aberdeen away from home 25-22, 25-13, 25-22.
Edinburgh Jets also booked their place in the last eight by edging Dundee 25-21, 25-22, 25-23. Jets travel across the city to face Edinburgh University in the quarter-finals.