Aaron Xuereb scored twice with Triston Caruana, Paul McManus, Leighton Grech and Bjorn Kristensen scoring the other goals. Ben Camilleri, the Hibs forward who is on loan at Qormi this season, pulled one back for his side.
In another match on Wednesday, Birkirkara defeated Marsaxlokk 3-1.
On Monday, Hibernians and Marsaxlokk shared the spoils in a 4-4 draw while Birkirkara were held in a goalless draw by Qormi.
Hibs will now face Birkirkara on Friday in a direct clash for the cup.