Baines suffered a fractured toe in Saturday’s 3-3 draw with Liverpool.
Everton manager Roberto Martinez said: “It has been confirmed that Leighton has got a fracture in one of the bones in his right foot, which is the phalange.
“We need to treat that now and see how it develops. It could mean anything from missing six weeks to being back in 10 days because it depends how the fracture heals.
“It is in such a specific spot and we are going to see how it (the injury) reacts.”