The Swans chose to part company with former boss Garry Monk back in December 2015, and Italian manager Francesco Guidolin is currently in charge of the club, most likely until the end of the season.
Swansea will be looking to make a long-term appointment, and many believe that Brendan Rodgers - who managed the club for two years before leaving for Liverpool - could be tempted back to the Liberty Stadium this summer, having left Anfield in October.
However, The Sun claim that Rodgers is also considering offers from abroad, meaning Swansea are looking for alternatives - and Sheffield Wednesday's Carlos Carvalhal is on their list of candidates.
The Portuguese boss, 50, was the surprise choice to become Wednesday boss last summer, but he has impressed at Hillsborough, turning the Owls into play-off contenders with a win rate of almost 50%.
Now though, it's suggested that Swansea wanted Carvalhal back in December, and are keen to make another move for him in the summer in a bid to lure him to South Wales.
For a manager who was out of work for three years before arriving as Wednesday boss, it's been a stunning year for Carvalhal, and he could end up in the Premier League whether Wednesday win promotion or not, if Swansea do make a move for him, as they are believed to admire his style of football.
Do you think Carvalhal would leave Wednesday for Swansea?