The Baggies will visit Blackpool in round three of the Emirates FA Cup.
Albion will head to Bloomfield Road on the weekend of January 9, 2021.
Albion last faced Blackpool in the FA Cup back in January, 1978 at The Hawthorns – running out 4-1 winners.
Blackpool are currently 15th in Sky Bet League One and are managed by Neil Critchley.
FA Cup third-round draw in full:
Huddersfield v Plymouth
Southampton v Shrewsbury
Chorley v Derby County
Marine v Tottenham Hotspur
Wolves v Crystal Palace
Stockport County v West Ham
Oldham Athletic v AFC Bournemouth
Manchester United v Watford
Stevenage v Swansea City
Everton v Rotherham
Nottingham Forest v Cardiff
Arsenal v Newcastle
Barnsley v Tranmere Rovers
Bristol Rovers v Sheffield United
Canvey Island or Boreham Wood v Millwall
Blackburn Rovers v Doncaster Rovers
Stoke City v Leicester City
Wycombe Wanderers v Preston North End
Crawley Town v Leeds United
Burnley v MK Dons
Bristol City v Portsmouth
QPR v Fulham
Aston Villa v Liverpool
Brentford v Middlesbrough
Manchester City v Birmingham City
Luton Town v Reading
Chelsea v Morecambe
Exeter City v Sheff Wed
Norwich City v Coventry City
Blackpool v ALBION
Newport County v Brighton
Cheltenham Town v Mansfield Town