Paul Heckingbottom's side will play Derby County at Oakwell on September 19th in Round Two.
The winner of the re-arranged Round Two clash with travel to Wembley to face Tottenham Hotspur.
The draw was made in the early hours of Thursday morning in Beijing, China. No date or time for the potential clash can be confirmed due to the Reds' tie with Derby County being played on Tuesday, September 19th which is when the Third Round tie's were due to be played.
Full reaction to come from Paul Heckingbottom's pre-match press conference later today.