Tie to be played week commencing September 22
ALBION will play host to Hull in Round 3 of the Capital One Cup.
The Baggies were paired with their Barclays Premier League rivals following tonight's draw at the conclusion of Round 2.
Alan Irvine's side progressed in the competition having seen off Oxford 7-6 in a dramatic penalty shoot-out on Tuesday night.
The Tigers, meanwhile, enter the competition at this stage due to their UEFA Europa League commitments.
The tie is due to be played at The Hawthorns during the week commencing September 22.
The full Round 3 draw is as follows:
Chelsea v Bolton
Arsenal v Southampton
ALBION v Hull
Crystal Palace v Newcastle
Leyton Orient v Sheffield United
Cardiff v Bournemouth
Sunderland v Stoke
Derby v Reading
Liverpool v Middlesbrough
MK Dons v Bradford
Manchester City v Sheffield Wednesday
Burton v Brighton
Swansea v Everton
Shrewsbury v Norwich
Fulham v Doncaster
Tottenham v Nottingham Forest