The Scottish international, whose contract expires this summer, rejected a contract offer when Paul Hart was manager but looks set to stay at the City Ground.
Kinnear told the club's official website: "I intend to sit down with him as soon as the Stoke and Preston games are out of the way and hopefully we will come to some sort of agreement to secure his future at Nottingham Forest."
Meanwhile, fans travelling to Preston on Bank Holiday Monday will have the chance to have their picture taken with the FA Cup. Up to four people can be in the picture which will cost £10 and will take place at the football museum situated at Deepdale.