The 18-year-old Belgian has emerged as one of the most highly-rated players in Ligue 1 this season.
The likes of Chelsea and Arsenal are said to be very keen on the talented midfielder, whilst Real Madrid and Inter Milan are also thought to be keeping an eye on him.
But Hazard is more than happy at Lille - where he has come through the ranks, making his first-team debut in 2007.
"It is flattering to see big clubs and I mean very big clubs interested in you," he told skysports.com.
"When clubs like that come for you, you can think twice, however I think I am not yet ready for a huge club with so much pressure.
"I don't think it is possible for Lille to let me go and I am fully behind that."