Wolves were drawn against Midlands rivals Walsall and holders Crewe take on Accrington in the first round of the Johnstone's Paint Trophy.
A number of interesting ties lie in wait, with Kenny Jackett's League One newcomers set to entertain Walsall in the pick of the Northern Section ties, while League Two Scunthorpe United welcome Sheffield United to Glanford Park.
Reigning JPT champions Crewe Alexandra take on League Two Accrington Stanley at Alexandra Stadium.
In the Southern Section, local rivals Bristol City and Bristol Rovers lock horns at Ashton Gate, while Portsmouth travel to Torquay United.
Elsewhere, Gillingham welcome Leyton Orient to Priestfield Stadium and Cheltenham Town play host to Plymouth Argyle.
Shrewsbury Town v Oldham Athletic
Crewe Alexandra v Accrington Stanley
Tranmere Rovers v Fleetwood Town
Port Vale v Bury
Notts County v Burton Albion
Scunthorpe United v Sheffield United
Hartlepool United v Bradford City
Wolverhampton Wanderers v Walsall
Byes: Carlisle United, Morecambe, Preston North End, Rochdale, Chesterfield, Mansfield Town, Rotherham United, York City
Milton Keynes Dons v Northampton Town
Dagenham and Redbridge v Colchester United
Gillingham v Leyton Orient
Brentford v AFC Wimbledon
Torquay United v Portsmouth
Bristol City v Bristol Rovers
Exeter City v Wycombe Wanderers
Cheltenham Town v Plymouth Argyle
Byes: Crawley Town, Newport County, Oxford United, Swindon Town, Coventry City, Peterborough United, Southend United, Stevenage
Ties to be played week commencing September 2.