The Belgian had stated last month that it's his dream to move to the Bernabeu.
However, the Chelsea player has dismissed speculations about him moving to Spain in the upcoming transfer window.
Now, he has been backed by his brother Thorgan Hazard, who stated that Eden isn't thinking about Real.
Hazard is set to enter final year of Chelsea contract
Hazard is set to enter the final year of his Chelsea contract in 2019.
The in-form player, who has once again created an impact this season for the Blues, is yet to sign a contract extension,
However, the Premier League giants are confident of retaining him.
Thorgan said that Real are in a transition phase and Eden has done the right thing by waiting.
Eden will wait and give his best at Chelsea
"I know him and he's not thinking about a move right now. In any case Real Madrid are in transition. He'll wait and give his best, then see what happens at the end of the season," said Hazard junior to Sky Sports.
Eden doesn't want to clash with Chelsea: Thorgan
The summer saw Thibaut Courtois move to Real, which didn't go well with the Chelsea supporters, after the Belgian keeper mocked the Blues.
Hazard does not want to clash with Chelsea and force a move away.
"He doesn't want to clash with Chelsea. If he does go one day he'll do it in the correct way, without problems for the club," said Eden's brother.
Hazard has been a revelation at Chelsea
It is likely that Hazard could move to Real in the summer after winning titles with the Blues.
He stated last month that he is keen to do what's good for him and Chelsea.
He is a legend here and has already played 313 games and scored 97 goals.