Éder has been on loan with the Ligue 1 side since January, registering an impressive six goals and four assists in his 13 league appearances.
Having failed to make his mark during as many appearances with Swansea City - albeit with 11 of these off the bench, compared to just one at Lille - the Premier League outfit have little reason to want to keep hold of the player.
Instead, they can look to get back as much of the £5 million paid last summer as possible, with Lille heavily interested in playing their part in that, according to Éder's agent Mikkel Beck.
Éder looking to extend stay in France
Speaking to Get French Football News, Beck revealed that Lille are keen on retaining the services of Éder and that talks have already commenced regarding the possibility.
"There is an interest from Lille in keeping Éder and Éder would like to stay at Lille," Beck revealed, saying that the forward "feels" that the club is "the right place for him."
After finding some goal-scoring form and picking up a French League Cup runners-up medal, it's no surprise that the 28-year-old is enjoying himself across the Channel either, and Beck says that there are already "discussions ongoing" about extending his stay - be it with another loan deal or a permanent one.
"It is something we are trying to work on," the agent said.
Heads turned in Portugal
Éder's performances have been so good in France, Beck believes that he will be back in the country for this summer's Euros, with him "100 per cent sure" of that.
"He has had a great six months at Lille," the former Middlesbrough man said. "He has shown not only is he a great goalscorer, but he has proved a capacity to set others up as well."
The agent says that this "form" convinces him that Éder "can play a big part" for his country this summer, and he is working hard to ensure that the player's future is sorted before the big event, to ensure he is not distracted.
When asked if a move will be done before the Euros, Beck said that "that is the idea," with everyone "working" to make this the case now.