Meanwhile, the home side have lost two of their last three matches, results which have led to the North-East outfit dropping down to 10th position in the Championship standings.
For large parts of the early months of this season, Middlesbrough fans have been left pleasantly surprised by the club's improvement under Neil Warnock.
However, while still sitting in 10th position with the second-best defensive record in the division, a run of one win from five matches has changed the mood at the Riverside Stadium.
Saturday's fixture at Huddersfield Town was an opportunity to keep the positive results ticking over after the previous 3-0 triumph over Derby County.
The North-West outfit were well off the pace at the back, however, as they conceded a third of their goals for the season during the defeat at the John Smith's Stadium.
Now sitting three points adrift of the playoffs ahead of a clash with one of their promotion rivals, Warnock knows that a disciplined display must be produced on Wednesday evening.
Nevertheless, the Welsh team sit just two points off top spot after 14 matches, their latest victory coming by a 1-0 scoreline at Nottingham Forest.
With just 16 goals being recorded in the final third, Cooper will be the first to admit that his players are guilty of not showing a ruthless streak since the beginning of September.
That said, there will be no plans to change their approach to games, continuing to rely on a backline which has shipped just eight goals.
While Middlesbrough hold one of the best points haul at home this season, Swansea have claimed 12 points from their seven away fixtures.
Middlesbrough Championship form: WDDLWL
Swansea City Championship form: WDLWDW
Cooper will want to manage the fitness of his Swansea players, and that may lead to a couple of alterations to the team which started at the City Ground.
Warnock may hand a recall to fit-again Duncan Watmore, who dropped down to the substitutes' bench for the game against Huddersfield.
Middlesbrough possible starting lineup:
Bettinelli; Djiksteel, McNair, Fry, Bola; Tavernier, Howson, Saville; Watmore, Akpom, Johnson
Swansea City possible starting lineup:
Woodman; Cabango, Bennett, Guehi; Roberts, Smith, Grimes, Bidwell; Dhanda; Lowe, Ayew
We say: Middlesbrough 1-1 Swansea City
Neither side have found the ideal balance between defence and attack this season, and that could lead to a low-scoring draw being played out here. Given their recent form and workload, it is a result which both sides would be prepared to accept at this stage of the season.
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