Burnley are courting the midfielder and the Barclays Premier League newcomers recently had a bid for the player turned down.
Forest are eager to ward off interest in Lansbury by offering him a new contract, despite the 23-year-old still having two years remaining on his current deal.
Reds boss Stuart Pearce has made it clear that he wants to keep the former Arsenal youngster, who is currently out injured with a knee problem, and Wigley has reiterated that stance, insisting the Sky Bet Championship club are ready to fight to keep him.
"Henri is still a Forest player and will be this Saturday," Wigley told reporters following Forest's Capital One Cup win at Tranmere on Tuesday night.
"Hopefully he will be the Saturday after. I hope he doesn't go. Burnley have been keen on one or two players but at the end of the day they haven't landed them yet.
"Henri starts joining in everything (in training) now and it will probably be about 10 days from there before he's available to play."