After Sunday's FA Cup quarter-final draw, Manchester United know that their hunt for an unprecedented quintuple will take them to either Swansea City or Fulham, dpa rported.
United brushed aside Derby County 4-1 to book their place in the last eight.
They have already won the Club World Championship, are top of the Premier League and face Tottenham Hotspur later this month in the final of the Carling Cup.
They face Italian champions Internazionale in the last 16 of the Champions League.
Championship side Swansea, having already knocked out Portsmouth, went desperately close to securing another Premier League scalp on Saturday when they drew 1-1 with Fulham.
Chelsea, after their 3-1 victory over Watford, travel to either Blackburn Rovers or Coventry City.
The only other team definitely through, Everton, who beat Aston Villa 3-1, are home to West Ham United or Middlesbrough
Arsenal face Cardiff City in a fourth-round replay on Monday, the winners of that tie facing Burnley for the right to play the winners of the fifth-round tie between Sheffield United and Hull City.
The quarter-finals are scheduled to be played on the weekend of March 7.
The draw in full:
Blackburn Rovers or Coventry City v Chelsea Swansea City or Fulham v Manchester United Cardiff City or Arsenal or Burnley v Sheffield United or Hull City Everton v West Ham United or Middlesbrough