Elsewhere, Everton face Newcastle and Sunderland take on Brentford in intriguing all-Premier League clashes, while Bradford City and Peterborough have miraculously drawn each other.
In the previous round, Chelsea won a nine-goal tie 6-3 against Leeds, Arsenal won 4-2 at Ipswich and Liverpool beat Tottenham 3-1.
Brighton knocked Manchester United out at Old Trafford, winning 3-2. Peterborough were the only side to go through on penalties, seeing off Barnsley 7-6 in the shootout after a 3-3 draw.
Norwich take on holders Manchester City at the Etihad on Thursday night to complete the third round.
Fourth-round ties will take place during the week commencing October 26th.
EFL Cup draw in full:
Fleetwood vs Arsenal
Manchester City or Norwich vs Brighton
Everton vs Newcastle
Sunderland vs Brentford
Liverpool vs Chelsea
Bradford City vs Peterborough
Fulham vs Crystal Palace
Bournemouth vs Aston Villa