The highly-rated French full-back has been attracting interest from Monaco and Paris Saint-Germain but the club's president insists he could still stay this season
The full-back, 19, rose to prominence last season following impressive displays in the Champions League with les Dogues, which has caught the attention of French football's wealthiest clubs.
But Seydoux has warned the nouveaux riche in Ligue 1 that there is no pressure to sell Digne and he is determined to ensure the talented prospect remains at the club this season.
Asked if a deal was close, he told L'Equipe: "The transfer will not happen this weekend, but yes, there is a competition between Monaco and PSG.
"But nobody mentions a third solution and that is that he stays with us this season.
"This club is not bankrupt, so that is still a real possible alternative."
Digne has a contract with Lille which runs until the summer of 2017.