The Foxes had already booked their place in the last-eight after finishing top of Group C following wins over , and , but had to wait for Group D’s remaining fixtures to be played to find out who they would face in the quarter-finals.
Everton beat Sunderland 1-0 at Goodison Park on Thursday evening to finish second in their group to set up a tie at City.
Ticket details will be released on LCFC.com in due course once a time and date for the match has been set.