The forward has often been linked to bigger clubs in England, especially earlier in his career.
After two injury-riddled seasons, Calvert-Lewin wants to focus on starting regularly and scoring for the Toffees.
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Asked about a move or a new contract, Calvert-Lewin said: Not at the moment. I'm just playing and scoring."
He added: I've had as much (support from the dressing room and manager) as I needed, really. I always reflect on my own performances and I know when I'm not quite there.
Nobody puts more pressure on me than myself. It's a good group and they supported me through it.
I always knew that I was going to score eventually. I was just a matter of time."