The winger is expected to arrive in south Wales on Monday afternoon after the Seasiders gave the England Under-21 international permission to discuss a switch to the Liberty Stadium.
Other clubs are also keen to sign Ince, with Crystal Palace believed to be among them, who is out of contract in the summer.
Any deal would see a fee paid to take Ince on loan until the end of the season, when a permanent switch could be completed once his Blackpool contract comes to an end.
Ince, whose father Paul was sacked as Blackpool manager last week, had been reportedly set to join Monaco earlier in the January transfer window, but a move to the Ligue 1 club did not materialise.
The Seasiders had confirmed Ince would hold talks over a move to the top-flight in a club statement which read: "Blackpool Football Club can confirm that, following discussions with Thomas Ince and his representative, permission has been given for Thomas to discuss a loan move to a Premier League club.
"Thomas has expressed his ambition to play in the Premier League for the remainder of the season, a decision that the club fully understands and supports."
Swansea's Welsh rivals Cardiff agreed an £8million fee for Ince last summer, but the player eventually turned down a move to Cardiff City Stadium.
Source : PA
Source: PA