The Championship side beat Manchester United on penalties in midweek and have been rewarded with a trip to West London to face Lampard’s former club.
Tottenham will travel to West Ham and holders Manchester City host Fulham in another all-Premier League tie.
Arsenal host Blackpool and Leicester City will face the winner between Everton and Southampton.
Ties to be played October 30/31.
Carabao Cup fourth round draw:
Manchester City v Fulham
Bournemouth v Norwich
Arsenal v Blackpool
Leicester City v Everton or Southampton
West Ham v Tottenham
Middlesbrough v Crystal Palace
Chelsea v Derby
Burton v Nottingham Forest
