That has been particularly evident at home, where their results since the Tottenham defeat have been 2-1 v Wolves in the FA Cup, league wins over Liverpool (1-0) and Arsenal (3-1) and the 8-1 against Notts County.
The Swans came out on top in a tight game against a Burnley side who have been the Premier League's favourite underdogs this season.
And Abraham thinks they can beat the drop.
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In the reverse fixture earlier in the season, the Clarets secured a convincing 2-0 win.
With Carvalhal's outlook and their current form, Swansea are fancied to score and that will give them a good chance of taking something from the game, given Burnley's low win rate without a clean sheet (only two wins in 16 overall when conceding).
Carvalhal, renowned for his colourful analogies, said: "We put all the meat on the fire to try to win".
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Among them was Roy Moore , the former Republican Senate candidate in Alabama, who is accused of molesting teenage girls. More importantly, though, the fact that this leaked out so quickly suggests Kelly has lost the confidence of his staff.
Swansea now sit two points clear of the relegation places and will only be hoping they can carry this new found form into the next few games where they face Brighton, West Ham and Huddersfield - all winnable games. They are very good players and very good characters also. Never the less, Burnley now sit seventh in the Premier League table and always promise a tough test against any oppositions.
With a two week break from the Premier League, the Swans next much fittingly sees Carvalhal face his former side Sheffield Wednesday in the FA Cup fifth round, having only been sacked by The Owls on Christmas Eve past year.
Incredibly, Swansea's 14 points in Carvalhal's seven games in charge eclipse the 13 that the Portuguese's predecessor Paul Clement managed in the first 20.
Burnley are without a Premier League win in nine games (D5 L4), the longest current winless run in the division.
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He also directed the military not to buy arms anymore "from Canada or from the USA because there is always a condition attached".