Neville has six months remaining on his current contract.
Moyes said: "He's been a great signing. The best person to talk about (the future) is Phil because I've already spoken to him and he just wants to see how his body is.
"He's just back from a knee operation and he would be the first one to say that we should just see how his knee is. I don't think he sees any great panic in it at this moment in time."