Wanderers will play their Vertu Trophy last-16 tie at Lincoln City on Tuesday, 14th January (KO 7pm).
Tickets details for the fixture at the LNER Stadium will follow in due course.
The Whites booked their place in the second knock-out round by beating Huddersfield Town 3-1, while League One rivals Lincoln advanced from the last-32 with a 1-0 win at Morecambe.
The two teams meet before then in the league at the Toughsheet Community Stadium on Sunday, 29th December.