The club's record signing from Standard Liege has been linked with a summer move away from the club as Chelsea are said to be interested but Moyes has urged chairman Bill Kenwright to agree a new deal with the 23-year-old.
"I think talks have started now, even though I've not spoken to Marouane personally about it," said Moyes.
"He's really important to us, part of the furniture here now, and of course we want him to stay.
"He's really important to us, part of the furniture here now, and of course we want him to stay. "
"We did it with the likes of (Phil) Jagielka and (Leighton) Baines who are on long-term contracts. We want to keep building on that and obviously Marouane comes into that category.
"In the main, the chairman has done a really good job keeping hold of players, so we'll see how we go with Marouane, too."