But they have not won a game for nearly two months.
"They were emotion as a outcome of winning this key game".
Only the most preposterous turnaround can spare Swansea City from relegation on the final Sunday of the Premier League season but if any team can help fashion this mission improbable, it is Pep Guardiola's dazzling Manchester City.
This morning the club tweeted an image of an online review for Swansea Marriott Hotel captioned 'Just some feedback...', which read: 'Had been due to stay here for an extremely important business trip, only to have our reservation cancelled 24 hours before arrival, due to an apparent virus outbreak.
After more than 70 minutes of frenetic action on Tuesday, substitute Manolo Gabbiadini provided the decisive moment for Southampton when he reacted quickest to Charlie Austin's parried shot in a crowded goalmouth.
The 52-year-old's contract expires at the end of the campaign but the club are not expected to exercise their option to extend it, the Guardian newspaper and the BBC reported.
The victory was sufficient for his side to avoid being relegated to the Championship.
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Whilst the reverse fixture was a respectable 2-1 to the Manchester side, they have been totally ruthless all season and with no other competitions to prepare for, they could easily name a full-strength side and go out and romp the Saints this Sunday.
Swansea's defeat to Southampton, coupled with Huddersfield's point at Chelsea, means that Carvalhal's troops need to beat Stoke, hope the Saints lose to Man City, then somehow overcome a 10 goal swing.
They now trail 17th-placed Huddersfield and 16th-placed Southampton by three points with only one game left to play, while the Terriers have a game in hand.
So who will be chosen to replace Carvalhal and attempt to guide the club back to the top flight?
City have scored five goals in four separate league matches this season meaning there's a good chance they could do it again at the weekend.
Boss Hughes, during his post-match interview with the BBC, said: "We suspected that maybe some of the dark arts were at work, but we didn't let it affect us".