The Blues are up against Galatasaray in the Round of 16 and although they are tipped to get past the Turkish outfit, Hazard does not believe they can go on to win the competition.
However, he does hold hope that Jose Mourinho's side are good enough to win the Premier League title as well as the FA Cup.
"We are still in three competitions with Chelsea," he told L'Equipe. "I don't think the Champions League will be for us this season because there are better teams.
"We will see about the Premier League. If we play all matches like we did against (Manchester) City (1-0 win last week), we will be champions. Anyway, I won't do anything alone. If we can get titles, it will be thanks to the team.
"It is my second season at Chelsea. I am at one of the best clubs in the world and I am always playing.
"I still have to work on steadiness and efficiency but each year I can improve. It is now up to me to keep my feet firmly on the ground to reach new levels."
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