The Belgian international admits that while he does want to play in the Champions League, Everton is his home.
"Am I interested in Chelsea? It's normal. I've never played in the Champions League," Fellaini told The People.
"I'm happy [at Everton], I know everyone, I get along with my teammates. It's my home. On the other hand, I also want to take the next step. Fate will decide.
"Everton paid £20m for me and do not want to sell me for nothing. If a big club wants me, they will have to pay the price."
Fellaini currently has 10 goals in the Premier League this season.