Rovers will host Sky Bet League One side Wigan Athletic in the last 16 of the Bristol Street Motors Trophy.
Rovers triumphed 3-0 over Nottingham Forest U21 to reach the second knockout stage of the competition while Wigan saw off Stockport County 2-0.
Last 16 ties are due to be played during the week commencing January 8.
The date and ticket information will be announced in due course.
Draw in full:
Derby County v Bradford City
Blackpool v Burton Albion
Accrington Stanley or Lincoln City v Bolton Wanderers
Doncaster Rovers v Wigan Athletic
Peterborough United v Crawley Town
Brighton & Hove Albion U21 v Reading
Wycombe Wanderers v West Ham United U21
Portsmouth or AFC Wimbledon v Oxford United