The South Wales club have found a good run of form hard to come by this year, after the success of winning the Capital One Cup last season under Michael Laudrup.
Both teams have sunk in the Premier League form guide in recent weeks:
Swansea are in the bottom three now, with no wins in five matches.
The game is not screened on U.K. television, but here is how you can watch the action in the U.S.:
When: Tuesday, March 25, at 7:45 p.m. GMT/3:45 p.m. ET
Where: The Emirates, London, U.K.
Live Stream: NBC Sports Live Extra (U.S. only)
Arsenal Surrender Again
It has been the story of Arsenal for almost a decade.
When the team needs to pull out a big performance and show courage and heart, they collapse in a heap.
They were required to pull out a big performance against Chelsea this past weekend and failed miserably.
Captain Mikel Arteta took to the club's official Twitter account to apologize to the fans for his team's result at Stamford Bridge.
From just a few weeks ago when they looked like the clear favourites for the championship, there is now the threat that they could be caught by fifth-place Tottenham, who lie just six points off the Gunners.
Being overtaken by Tim Sherwood's team after such a promising campaign will rank as Arsene Wenger's worst moment after surpassing the 1,000-game mark in charge of Arsenal.
Wenger's team now need to dig in and fight their way out of the mess they have put themselves in.
However, John Cross of The Mirror was reflective on Arsenal's achievements this season, calling for a level of realism.
He tweeted on Monday:
Swansea are the perfect opponent for them, and a goalfest and great performance should be their realistic ambition.
Cross may believe that a Champions League place is guaranteed, but a shock defeat at home to the Swans will destroy their confidence and motivate Spurs to capture fourth place.
Life After Laudrup
The 2013-14 season has been a huge disappointment to Swansea, after their first taste of top-level silverware in living memory last year.
The dismissal of Michael Laudrup was a baffling one, but results had not been good enough allowing the board to make the decision to part company.
The South Wales club achieved back-to-back victories over Arsenal in 2012, winning both home and away.
They originally beat the Gunners 3-2 in January, then causing a shock upset in December at the Emirates, per WhoScored.com.
Two goals in the last three minutes by Michu sealed the points, as Wenger's team failed to score.
Swansea are in a different head space now, and their glorious entrance into Premier League life could end in relegation this season back to the lower divisions.
They will be desperate to steal some points away from the London club and inadvertently make life even harder for Wenger.
An unlikely win will all but see Swansea safe for another season as they head toward a points total that will guarantee their life in top-flight football for another year.