Millwall will begin their Johnstone's Paint Trophy campaign with a home match against Peterborough United.
The Lions, along with Wigan Athletic and Blackpool, suffered relegation to League One last season, resulting in all three clubs gaining a place in the competition.
Wigan and Blackpool have both received byes, but Neil Harris's outfit will start their attempt to reach Wembley against Peterborough.
Last year's runners-up Walsall will travel to Morecambe, while Barnet will travel to Yeovil Town after their return to the Football League.
North-West section: Port Vale vs. Carlisle United, Shrewsbury Town vs. Oldham Athletic, Accrington Stanley vs. Bury, Morecambe vs. Walsall
North-East section: Hartlepool United vs. Sheffield United, Doncaster Rovers vs. Burton Albion, Notts County vs. Mansfield Town, Scunthorpe United vs. Barnsley
South-West section: Yeovil Town vs. Barnet, Newport County vs. Swindon Town, Exeter City vs. Portsmouth, AFC Wimbledon vs. Plymouth Argyle
South-East section: Luton Town vs. Leyton Orient, Millwall vs. Peterborough, Northampton Town vs. Colchester United, Cambridge United vs. Dagenham & Redbridge