Holders Peterborough United have been drawn at home to Northampton Town in the last 32 of the newly-renamed Vertu Trophy.
Peterborough, who beat Wycombe in last season's final, progressed from the group stage of this year's competition with a 100% record, winning all three games.
Wycombe, the League One leaders, also have a home tie against Ian Holloway's Swindon Town, while twice winners Port Vale, who are top of League Two, will travel to boss Darren Moore's former club Doncaster Rovers.
Aston Villa Under-21s will be away to 2002 and 2004 winners Blackpool, while Wrexham, who lifted the trophy in 2005, will be at home to Crewe Alexandra.