Following that success at King Power Stadium, courtesy of Kelechi Iheanacho's last-gasp winner, the Foxes will join another seven teams who remain in with a shot at glory.
Ahead of the upcoming draw, here's everything you need to know...
When does the draw take place?
The draw will be held on Thursday at approximately 7:45pm GMT at the BT Sport studios, following Wolverhampton Wanderers' clash with Southampton.
However, should that tie go to extra-time, the draw will take place later following the conclusion of the fixture at Molineux Stadium.
Who could we face?
The Foxes are ball no.8 and could face any of the sides listed below.
1. AFC Bournemouth
2. Manchester United
3. Sheffield United
4. Southampton
5. Barnsley or Chelsea
6. Everton
7. Manchester City
8. Leicester City
How can I follow it?
The Blue Army will be able to find out who Leicester will face in the last-eight by checking in to @LCFC social media and LCFC.com.
When are ties scheduled to take place?
The quarter-finals are currently planned for the weekend of Saturday 20 March. Dates and kick-off times are yet to be confirmed and will be announced in due course. The semi-finals, meanwhile, will take place around Saturday 17 April.
The final is scheduled to be staged at Wembley Stadium on Saturday 15 May.