The Belgium global continues to be linked with Real Madrid ahead of the summer market.
However, the 27-year-old told French broadcaster SFR Sport: "I hope (the fans) don't want to see me leave".
The Belgian playmaker is widely regarded as one of European football's top attacking talents and he has earned lots of praise for his performances for the Blues since his move to the club from Lille back in 2012. I'm doing good stuff here.
Hazard has scored 12 goals and provided four assists in 32 Premier League appearances for Chelsea during their latest disappointing title defence, but impressed on Sunday as the fifth-placed Blues beat Liverpool 1-0 to move within three points of their opponents and keep hopes of a top-four finish alive.
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Hazard's current contract with Chelsea runs out in the summer of 2020, and he has been offered an improved deal by the Stamford Bridge side.
While Chelsea host Huddersfield Town on Wednesday night before travelling to Newcastle United on the final day of the season on May 13, Hazard has played down the personal importance of attaining Champions League. I'm happy here. Things can move, or they may not move.
'The public adore me, I love my teammates, my family are good here.
Chelsea are on the brink of losing out from next season's Champions League competition. "Of course I want to play in the Champions League, but it's no priority".