Fellaini has been repeatedly linked with a move to Stamford Bridge after making a name for himself on Merseyside with the Toffees.
The Belgian, who has been Everton's star man this season, admits the prospect of playing UEFA Champions League football with the Blues is tempting.
But the 25-year-old, who is contracted at Goodison Park for another three years, says he is yet to make a decision over his future.
He told the Sunday People: "Am I interested in Chelsea? It's normal, right? I've never played in the Champions League!
"I'm happy here, I know everyone, I get along with my team-mates. It's my home. On the other hand, I also want to take the next step. Fate will decide.
"Everton paid £20million and do not want to sell me for nothing.
"If a big club wants me, they will have to pay the price."