The draw was made before the Reds' comfortable passage past Wigan Athletic, courtesy of a 2-0 victory with goals from Portuguese duo Diogo Dalot and Bruno Fernandes.
Erik ten Hag's side are on the road again, travelling to either Newport County or Eastleigh on the weekend of 27/28 January.
Eastleigh forced a replay in the original tie at Newport with a Chris Maguire penalty equalising James Clarke's opener and earning the 10 men a second bite of the cherry, with the fixture due to be played on Tuesday 16 January, although this is still subject to change.