Following the conclusion of the Second Round draw after Tuesday night's fixtures, Leeds United will meet Crewe Alexandra at Elland Road.
The fixture is set to take place week on Tuesday, August 24, and an official announcement will be made in due course regarding ticketing details for the clash.
Meanwhile Arsenal have been drawn away to West Brom while Aston Villa will travel to Barrow.
All Premier League sides not involved in Europe featured in the second-round draw, with Newcastle taking on Burnley while Everton have drawn Championship opposition in Huddersfield Town.
Elsewhere, Watford drew Crystal Palace, Southampton are heading to League Two outfit Newport County, and Premier League newcomers Brentford welcome Forest Green Rovers.
Fulham and West Brom, both relegated from the Premier League last season, were also new names in the pot for the second round, and it was the latter who drew Arsenal, who last won the tournament in 1993.