Albion will host Brighton in the third round of the Emirates FA Cup.
The Baggies last played the Premier League outfit in the FA Cup in the 2018/19 campaign, holding the Seagulls to a goalless draw at the Amex Stadium before suffering a 3-1 reverse AET in the replay.
The tie will be played across the weekend of Saturday, January 8, 2022.
Third-round draw in full:
Boreham Wood or St Albans City vs AFC Wimbledon
Yeovil Town vs Bournemouth
Stoke City vs Leyton Orient
Swansea City vs Southampton
Chelsea vs Chesterfield
Liverpool vs Shrewsbury Town
Cardiff City vs Preston North End
Coventry City vs Derby County
Burnley vs Huddersfield Town
Albion vs Brighton
Kidderminster Harriers vs Reading
Leicester City vs Watford
Mansfield Town vs Middlesbrough
Hartlepool United vs Blackpool
Hull City vs Everton
Bristol City vs Fulham
Tottenham Hotspur vs Morecambe
Millwall vs Crystal Palace
Port Vale vs Brentford
Swindon Town vs Manchester City
Wigan Athletic vs Blackburn Rovers
Luton vs Harrogate Town
Birmingham City vs Plymouth Argyle
Manchester United vs Aston Villa
Wolves vs Sheffield United
Newcastle vs Cambridge United
Barnsley vs Ipswich Town or Barrow
Peterborough United vs Bristol Rovers
West Ham vs Leeds United
QPR vs Rotherham United
Charlton Athletic vs Norwich
Nottingham Forest vs Arsenal