Crystal Palace had looked set to sign the England Under-21 winger in a loan deal until the end of the season.
But Potters boss Mark Hughes is attempting to hijack that transfer and sign Ince on a permanent basis.
Palace's sporting director Iain Moody admitted the move was 'still in the balance' as the two clubs await a decision from Blackpool owner Karl Oyston.
"It's still in the balance," Moody told Standard Sport. "Ultimately we can't
control what Blackpool want to do - Oyston is the man who has the whole deal in his hands.
"If we get to 10 o'clock and nothing is decided then he will be left with a choice of not keeping Tom or letting him come to us for a good chunk of money."
Ince has already held talks with several Premier League clubs regarding a transfer during the current window.
Swansea have already held talks with the 21-year-old winger, who spoke to Palace on Tuesday morning.
Hull City and Sunderland had also been given permission to meet with Ince.
Liverpool have not joined the race for the player despite having the option to match any bid for him as part of the deal that took him from Anfield to Bloomfield Road in 2011.