Fellaini, 29, has enjoyed a successful season at Manchester United under Jose Mourinho.
The Belgium international struggled to make his mark under Louis van Gaal and David Moyes following his arrival from Everton in 2013.
But he has come on leaps and bounds since Mourinho's arrival, making 47 appearances across all competitions this term.
Fellaini will be going into the final 12 months of his contract come the end of June.
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In China? Why not? I'm now Manchester United player, but I do not rule out such a transfer in the future.
With no contract extension on the horizon, it could prove to be his final season as a United player.
And the midfielder has hinted at a potential move to the Chinese Super League to join international team-mate Axel Witsel should he not be offered a new deal and his contract expires next summer.
When asked about a potential big-money move to the Far East, Fellaini told Belgium outlet VTM News: "In China? Why not? I'm now Manchester United player, but I do not rule out such a transfer in the future."
He also talked about his relationship with Jose Mourinho and is convinced he will bring the glory days back to United.
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Manchester United star Marouane Fellaini is open to a move to the Chinese Super League
"I am convinced that he will do a good job at Manchester United. Jose Mourinho knows my qualities and knows how to use me," he added.
Fellaini played a crucial part in United's Europa League triumph against Ajax, which secured the Red Devils' passage into the Champions League for next season.
And he reckons United fully deserved to win the trophy in Stockholm.
He continued: "It was great. We all worked hard to win this fabulous trophy.
"The whole team was focused enormously. We played a good game and deserved the victory."