As for Jurgen Klopp's free-scoring Liverpool side, the Reds confidence will be at an all-time high coming off the back of last weekends dramatic victory over Manchester City.
It was a frustrating night for Liverpool but they nearly rescued a point in stoppage time when Roberto Firmino's header, from a Van Dijk cross, came back off a post.
For Liverpool, this fixture will come just too early for Jordan Henderson and Alberto Moreno, but the duo have returned to team training.
He wasn't in Klopp's match-day squad for Liverpool's emphatic 4-0 win over Arsenal in late August, with Karius once again getting the nod ahead of the Belgian, before remaining on the bench for the visits of West Brom and Leicester City in December.
The Swans prop up the Premier League table after winning just four times all season, and only twice on home soil.
Liverpool expect to have winger Mohamed Salah and centre-backs Ragnar Klavan and Dejan Lovren available after the trio suffered a bout of illness.
Adam Lallana is back in contention, and though the manager says he is "not the replacement for Coutinho", he should at least provide a good option from the bench.
When Swansea won 3-2 at Anfield roughly this time a year ago - they were 20th before that game, too - it was regarded as a major embarrassment for the Reds rather than a brilliant performance by the Swans.
Add to that three Bundesliga titles and another Champions League from his time at Bayern Munich and you have yourself one of the most decorated central midfielders in world football, who also happens to be a World Cup victor.
And Carvalhal says he has seen enough progress to provide optimism that Swansea can escape relegation.
Here is how we think the Reds will line up at Swansea. "Alexis Sanchez makes sense for pretty much each team in the world, because he's a really good player - bring him in!"
Alex Oxlade-Chamberlain drilled an effort straight at Fabianski and Liverpool were punished for their profligacy five minutes before half-time.
Van Dijk then released Salah with a delicious ball over the top, but the Egyptian could not control his hard volley.
It hasn't been without its drama, of course, but as fans emerged miserable and anxious from Wembley after Tottenham tore Liverpool wide open last October few could have predicted how their team could improve so much by the turn of the year. Last season, the German-born player won the DFB-Pokal with Dortmund.