The Reds will face Middlesbrough at the Riverside Stadium in round two of the Carabao Cup.
Struber's side beat Nottingham Forest at Oakwell in the first round on Saturday, whilst 'Boro overcame Shrewsbury Town on Friday.
The tie will be played week commencing 14 September, with the precise date to be confirmed shortly.
A clash against Chelsea FC at Stamford Bridge awaits the winners of this fixture only a week later.
Round Two Northern Section:
Burnley vs Sheffield United
Burton vs Aston Villa
Bradford vs Lincoln
Leeds vs Hull
Everton vs Salford
Wolves vs Stoke
Rochdale vs Sheffield Wednesday
WBA vs Harrogate
Middlesbrough vs Barnsley
Derby vs Preston
Newcastle vs Blackburn
Morecambe vs Oldham
Fleetwood vs Port Vale