The Welsh club are not expected to take up the option of extending Carvalhal's contract, with his initial deal set to run out at the end of the campaign.
Manager Carlos Carvalhal is set to leave Swansea at the end of the season, with the club facing almost certain relegation from the Premier League, reports said Thursday.
Southampton's Premier League spot not safe yet, says manager Mark Hughes after crucial win over Swansea
Southampton are on 36 points, three above Swansea and with a superior goal difference (nine goals better) ahead of Sunday's final game, at home to champions Manchester City.
Premier League: Swansea City's Renato Sanches has no chance of going to World Cup in Russia, says coach Carlos Carvalhal
Swansea City’s Renato Sanches is unlikely to feature again this season as he has not sufficiently recovered from a hamstring injury, manager Carlos Carvalhal said on Thursday.
Premier League: In-form Mohamed Salah stars as Liverpool beat Newcastle United; Son Heung-Min's brace helps Spurs win
A fourth win in their last five league games took Liverpool one point above Manchester United who can regain the second spot with a win at Crystal Palace
Premier League: Tottenham cement top four spot with win over Huddersfield; Riyad Mahrez saves Leicester City
Tottenham cemented their place in the Premier League's top four as Son Heung-Min inspired a 2-0 win over Huddersfield, while Swansea improved their survival prospects with a 4-1 thrashing of West Ham on Saturday.
Premier League: Swansea boss Carlos Carvalhal says he feels no pressure despite team dropping into relegation zone
Carvalhal, who guided the Swansea to their first FA Cup quarter-finals since 1964, believes results at home remain crucial to their top-flight survival bid.
Swansea last reached the sixth round of the competition in 1964, when they were known as Swansea Town.
FA Cup: Sheffield Wednesday hold Swansea City to goalless draw on former manager Carlos Carvalhal's return
Sheffield Wednesday and Swansea City will meet again for the chance to reach the FA Cup quarter-finals after an insipid 5th round tie at Hillsborough ended goalless on Saturday.
FA Cup: Carlos Carvalhal returns to Hillsborough as Swansea City face Sheffield Wednesday in Round of 16 tie
Sheffield Wednesday defender Frederico Venancio has said he will no have extra motivation when he faces former manager Carlos Carvalhal in an FA Cup tie against Swansea on Saturday.
Premier League: From Kevin De Bruyne's stellar outing, to Paul Pogba's flop show, talking points from Gameweek 27
De Bruyne's impressive display was in stark contrast to Paul Pogba's who was taken off immediately after United conceded in their 1-0 loss at Newcastle.
Premier League: 'Authentic legend' Sergio Aguero nets four goals as Manchester City thrash Leicester; Spurs rise to third
Aguero now trails Harry Kane by just two goals in the race for the golden boot, but just one from Kane was enough to win the North London derby as the Tottenham striker's seventh goal in as many games against Arsenal secured a 1-0 win.
Premier League: Harry Kane ensures Tottenham's victory in North London derby; Everton beat Crystal Palace
Kane's header early in the second half gave Tottenham the victory their enterprising display deserved as Mauricio Pochettino's side climbed to third in the Premier League.
Premier League: Henrikh Mkhitaryan poised for Arsenal debut even as Mesut Ozil's future at club remains uncertain
With Alexis Sanchez gone, Arsene Wenger hopes he can rebuild his Arsenal side around the axis of Henrikh Mkhitaryan and Mesut Ozil.
Premier League: 'Frustrated' Liverpool manager Jurgen Klopp rues missed opportunities in Swansea City loss
Jurgen Klopp blamed his players for becoming embroiled in a fight at Swansea City as they lost their unbeaten 18-match run to the Premier League's bottom club.
Liverpool manager Jurgen Klopp has insisted he has not given a second thought to his team's 18-match unbeaten run ahead of their trip to Swansea City on Monday.
Premier League: Tottenham manager Mauricio Pochettino considers fatigue a non-issue in West Ham clash
Pochettino suggested Harry Kane will be fit to start on Thursday.
Premier League: Chelsea rout hapless Stoke City; Mohamed Salah's brace lifts Liverpool against Leicester
Liverpool celebrated Virgil van Dijk's arrival at Anfield by coming from behind to beat Leicester City 2-1 thanks to Mohamed Salah's brace, while Danny Drinkwater scored his first Chelsea goal in a 5-0 rout of Stoke City.
Premier League: New Swansea manager Carlos Carvalhal says club doesn't need miracle to avoid relegation
Carlos Carvalhal, who is Swansea's fifth permanent manager in two years, said difficult challenges such as the one facing his new club attracted him.
Premier League strugglers Swansea City appointed Carlos Carvalhal as their manager until the end of the season on Thursday.