Clement Grenier, who has also been linked with Everton and Southampton, will need an operation to solve a groin problem.
The 23-year-old has reportedly told Lyon that he wants to leave the club this summer.
But Lyon boss Hubert Fournier's latest comments may have thrown a spanner in the works for any potential Premier League move.
Indeed, the coach has revealed that Grenier will need an operation on a groin injury, making a move away from Ligue 1 less likely.
“His transfer? It is currently more likely that he will stay at Lyon," Fournier told French reporters.
“We knew he was still fragile. But we played him because we thought he was capable. I am not sure that one more week would have changed anything..
“He will need an operation, because it is not bearable anymore both for him and for the club.”
The 23-year-old is a France international and has been at Lyon since 2009.