FA CUP DRAW: Premier League side at home is a possibility for Peterborough United
Top flight Leicester will be hot favourites to beat Fleetwood of League One in their third round replay on January 16. The sides drew 0-0 at Fleetwood on Saturday.
Posh have never played Leicester or Fleetwood in the FA Cup. They have met Leicester twice in the League Cup and lost both times, in a two-legged tie in 1992 and after a replay in 1965.
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Hide AdBut Posh won the last meeting between the sides, a Championship fixture at London Road in 2013 when current manager Grant McCann scored an 88th minute winning goal in a 2-1 victory.
Posh have only ever beaten one top-flight side in the FA Cup, their famous win over Arsenal in a fourth round tie in 1965.
Posh won 3-2 at Fleetwood in a dramatic League One match in December.
Posh earned their place in the draw with an outstanding 3-1 success at Championship promotion hopefuls Aston Villa on Saturday (January 6).
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Hide AdThe fourth round ties are scheduled for January 26-30. Posh will have to rearrange their League One match at Bury which was scheduled for January 27.
Full draw: Liverpool v West Brom, POSH v Leicester City of Fleetwood, Huddersfield v Birmingham, Notts County v Wolves or Swansea, Yeovil v Manchester United, Carlisle or Sheffield Wednesday v Stevenage or Reading, Cardiff or Mansfield v Manchester City, MK Dons v Coventry City, Millwall v Rochdale, Southampton v Watford, Middlesbrough v Brighton or Crystal Palace, Bournemouth or Wigan v Shrewsbury v West Ham, Hull v Nottingham Forest, Newport v Spurs, Norwich or Chelsea v Newcastle, Sheffield United v Preston.