Swansea are finalising a deal with an American investment group regarding the purchasing of a controlling stake in the club.
The Premier League club said talks with American businessmen could be wrapped up by the end of the season.
The investment group are being led by Stephen Kaplan and Jason Levien, both of whom have an extensive sporting backgrounds in the United States.
"Swansea City Football Club can confirm it is working to finalise to bring in a new majority shareholder," said a club statement.
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Francesco Guidolin says talks over his Swansea future will be held as soon as the club are safe from the threat of relegation.
Swansea would get to the 40-point mark on Saturday by inflicting Chelsea's first Premier League defeat since Guus Hiddink was appointed interim manager in December.
Guidolin has steered Swansea away from the bottom three since being appointed head coach three months ago.
But it remains uncertain whether the Welsh club will take up the option of the veteran Italian staying at the Liberty Stadium next season.
I will speak in the next few weeks with my chairman [Huw Jenkins] about my future. This is my agreement. First we must get maybe one, maybe three, maybe four points because 37 points is not enough. I'm only thinking match by match and to get many points to finish the season well. This is my dream.
I hope to show my qualities as a manager, but I have said that my future is the present now and I don't know if I'm still here next year. I would like to show all my qualities, but I don't know [if that will happen
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