The Hoops received a reported offer of £1.5million for the 27-year-old centre-back from Nottingham Forest last week.
Wilson was a key figure for Lennon's men as they marched through last season's Champions League group stages and was rumoured to be on the verge of an England call-up.
And Lennon indicated Wilson's former club are wasting their time trying to lure the player back the the City Ground.
"There was a bid came in on Friday. I haven't had the chance to digest it yet but on the surface it's not going to be anywhere near enough," Lennon said.
"He was very consistent last year and showed his qualities and the reasons why we bought him.
"He's got two years left on his contract so he's in a stable position as far as that is concerned. There's no need to push the panic button.
"I didn't get the chance to speak to him about things yesterday but I'd imagine he'd want to stay.
"Funnily enough, he is in Nottingham for the weekend but that's purely coincidental."