Moyes, who took the helm at Goodison Park in 2002, is out of contract on Merseyside at the end of the season.
The 49-year-old Scot has confirmed talks with owner Bill Kenwright are unlikely to begin until the end of January.
"I would probably wait until we have got over January and see how things go," he told the Daily Express.
"I want to see what we're going to do, where the club are looking to move to in the future. That is what I am really looking for.
"It's probably going to be after the new year before we speak."