Sunderland host Southampton in the fifth round of the FA Cup.
Manager Gus Poyet said a draw or replay in match would be a real problem as the fixtures stack up.
Sunderland have been drawn at home against Southampton in the fifth round of the FA Cup.
The game will be played during the weekend of the 15th and 16th February.
Newcastle United manager Alan Pardew has urged the Football Association to look at changing the fixture schedule to be more accommodating for clubs.
The 52-year-old says the FA Cup is being devalued because of the number of games that teams face during the busy festive period.
The Magpies host fellow Premier League side Cardiff City in the FA Cup Third Round on Saturday.
Sunderland Head Coach Gus Poyet has been describing his 'love' for the FA Cup.
Speaking ahead of his side's Third Round match at home to Carlisle United on Sunday, he said: "For me, it's the best cup competition in the world. I love it."
Aitor Karanka says Middlesbrough must give "120 percent" in order to beat Hull City in their FA Cup Third Round clash at the Riverside on Saturday.
The draw for the Third Round of the FA Cup has been made. Ties will be played on the weekend of January 4/5.
- Barnsley v Hartlepool United or Coventry
- Newcastle United v Cardiff City
- Middlesbrough v Hull City
- Sunderland v Carlisle United
Middlesbrough boss Tony Mowbray has been looking forward to tomorrow night's FA Cup 5th round tie against Chelsea.
The game comes as a welcome distraction from Middlesbrough's Championship struggles.
They've dropped out of the promotion play-off places after a poor run of results since the turn of the year.
But Tony Mowbray hope a big cup tie might spark them back to life.
Middlesbrough's FA Cup Fifth Round clash with either Chelsea or Brentford will take place at the Riverside stadium of Wednesday 27 February, the Teesside club has confirmed.
The match was due to be played on Saturday 16 February. However, the two London clubs face a replay the following day after their 2-2 draw at Griffin Park last Sunday.
Boro's npower Championship game against Crystal Palace will now go ahead on February 16 as originally planned.
Inspirational youngster Cory Davidson, from Blyth, in Northumberland has helped a team of footballers to pull off one of the giant killing acts of the FA Cup.
Cory, who suffers from an aggressive brain tumour, was Luton Town's mascot as they took on premier league Norwich City
The non-league side pulled off the shock of the fourth round by beating the Canaries.
Many of the Luton players later tweeted how Cory's story had inspired them. Despite his own ill-health, he gives up his Christmas Day to deliver presents to youngsters in hospital and raises money for charity.
Middlesbrough host League Two side Aldershot Town in the FA Cup Fourth Round on Saturday.
Watch a preview of the match below: