The 24-year-old striker has not featured since August 28 because of a quadriceps problem but his recovery has not gone smoothly and the Premier League club say he will 'remain out for a number of weeks'.
"Calvert-Lewin will continue to receive specialist treatment and an update on the England international's fitness will be provided in due course," said an Everton statement.
The England striker, who top scored for the club with 21 goals last season, had scored in each of his first three matches before injury.
Meanwhile, manager Rafael Benitez has told his players they have to learn not to panic when things start to go against them.
The bubble was burst on an encouraging start to the season with a first home defeat of the campaign against West Ham when they were well below their best.
Benitez was not happy with the way his side reacted to falling behind as, in two of the three previous home victories they had bounced back from conceding first to win.
"The main thing we learned from the West Ham game is that, even conceding, even in difficult situations against a good team, you have to continue doing things the right way," he told EvertonTV.
"Don't panic, don't rush and play long balls without controlling the second ball. There we could do better.
"It is not about intensity or commitment or effort. It is about understanding and being precise and sure everybody is ready and concentrated for every game."