The 24-year-old, who returned from injury in the Toffees' 2-0 win over Tamworth in the FA Cup third round last Saturday, signed a fresh deal at Goodison Park this season.
"We have to try to give him a bit of support and not always be looking for him to be a key man," The Express quotes Moyes as saying. "We just hope we can get a full season from him. He has had serious injuries in the last two seasons which have ruined his campaign."
The Belgium international has scored 12 goals for the Merseyside club since his arrival in 2008.