Doucoure was forced off with a groin issue 65 minutes into last week’s defeat to Aston Villa.
Everton will be without Abdoulaye Doucoure and Fabian Delph for at least a month through injury.
The managerless Toffees sit 16th in the Premier League following Saturday’s 1-0 home loss to Aston Villa.
Doucoure was forced off with a groin issue 65 minutes into that defeat, and Everton has now confirmed he is “expected to be out for a minimum of four weeks”.
The club has put the exact timeline on fellow midfielder Delph’s recovery.
Everton said that the 32-year-old “sustained a thigh injury during a training session this week and is now undergoing treatment with the club’s medical team”.
Meanwhile, teenage forward Lewis Dobbin has signed a new three-and-a-half-year deal.
On Monday evening, the 19-year-old academy graduate made his Everton debut in September and scored the under-23s’ winner against Tottenham.
“It’s a huge honour that the club has put their faith in me with this new deal,” the England Under-19 international said.
“I love Everton, and I’ve been here for such a long time now. I’m grateful for the chances. And to all the coaches I’ve had during my time in the academy.
“I’m comfortable in the environment here, and I want to make the people at Everton proud and my family proud.
“I’m going to keep working hard and keep pushing. Hopefully, I can get more opportunities in the first team and score my first goal.”
