Boss Brendan Rodgers opted to rest key pair Jamie Vardy and James Maddison for this one with Dennis Praet and Ayoze Perez returning to the starting team.
But despite the changes, the Foxes dominated from the start as James Justin’s thunderbolt put them in front before the break.
Michael O’Neill’s hosts did look to make a game of it after the restart, but Leicester’s attacking power proved to be too much as Marc Albrighton’s swept home Youri Tielemans pass.
And that strike took the sting out of Stoke in the final ten minutes as Perez and the in form Harvey Barnes wrapped up a deserved place in the next round.
Full Time from the Bet365 Stadium it’s Stoke City 0 Leicester City 4