Tranmere will be in the Northern Section - West when the draw for the First Round of the Johnstone's Paint Trophy is made on the morning of Saturday, 16 August.
Rovers could be drawn against Accrington Stanley, Crewe Alexandra, Macclesfield Town, Morecambe, Oldham Athletic, Port Vale or Stockport County for the round, with ties being played in the week commencing 1st September.
Byes were awarded to:
Northern Section: Bury, Carlisle United, Chester City, Darlington, Huddersfield Town, Lincoln City, Rochdale, Rotherham United
Southern Section - Cheltenham Town, Gillingham, Hereford United, Luton Town, Milton Keynes Dons, Peterborough United, Walsall, Wycombe Wanderers
The draw will take place on Sky Sports' Soccer AM.