The fixture, set to be played at Broadhurst Park, will be screened live on BBC Two on Saturday, November 7 with a 5:30pm kick-off.
Neil Reynolds' side defeated National League North outfit Guiseley 2-1 in the Fourth Qualifying Round, with goals from Paul Ennis and Finlay Sinclair-Smith.
It’s the third time that FC United have reached this stage of the competition, having defeated Rochdale 3-2 in 2010 and losing 4-1 to Chesterfield in 2015.
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