Five-time winners Chelsea will host League Two side AFC Wimbledon in the second round of the Carabao Cup.
There are two all-Premier League ties as Fulham welcome Tottenham Hotspur and Nottingham Forest host Burnley.
Gillingham's reward for knocking out Championship side Southampton in one of the shocks of the first round is a trip to recently-promoted Luton Town.
Two other top-flight teams also face fourth-tier opposition as Everton visit Doncaster and Newport host Brentford.
The second-round ties will take place in the week commencing 28 August.
The eight Premier League sides to have qualified for Europe this season will join the competition in round three.