The Championship club had a £1.5million offer for the 27-year old centre-back rejected recently but Lennon feels that Forest have been attempting to unnerve the former City Ground star into an East Midlands return.
"Absolutely. I've spoken to Kelvin about it. I obviously don't want him to go," he said of Forest's scheme to unsettle Wilson.
"I want him to at least play in the Champions League qualifiers and be as professional as he can.
"But there's no doubt there is something naughty going on. It doesn't make me happy, because we don't do that type of thing.
"I don't know where it is coming from. But as soon as the bid was made on Friday, it was out on BBC East Midlands about 20 minutes later. That's not the way you do things.
"The last couple of games Kelvin has played, he has been excellent. He is being as professional as he can.
"These are edgy situations, where a player might have his head turned.
"We have to do all we can to convince him to stay."