Swansea have already held talks with the 21-year-old winger, who will travel to London on Tuesday morning to discuss terms with Crystal Palace.
Stoke, Hull and Sunderland have also been given permission to meet with the England Under-21 international.
However, it is believed that 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.
Ince has risen to prominence as one of the best players outside the Premier League following his move to Blackpool.
Liverpool had looked at landing him last summer, and it was thought they may rekindle their interest following their failure to land Mohamed Salah, who rejected them in favour of Chelsea.
French giants Monaco also remain keen on Ince, who could move to the principality outfit for just a moderate compensation fee at the end of the season.
Swansea boss Michael Laudrup confirmed that he met with Ince on Monday, and put the case to him to move to south-west Wales.
"As far as I understand he has the okay from Blackpool so that is what he is doing," said Laudrup.
"I answered his questions as to how we do things here and that is what it is about but his contract is almost over and it is up to him what he wants to do."