The Northern Irishman was linked with Norwich City when the Norfolk club dismissed Chris Hughton in April, and despite their subsequent relegation Lennon's name is still being mentioned in connection with the post.
Lennon, who succeeded Tony Mowbray at Celtic Park in 2010, insists nothing has changed in the face of the latest rumours over his future.
"There's no contact," he told Sky Sports News. "It's very flattering, obviously, I've got a great job at Celtic with a great club and until I'm told otherwise I forge on ahead with things at Celtic."
But following the Canaries' drop into the Championship, Lennon's name has also cropped up with a number of Premier League clubs poised to look for new managers this summer.
"It's a league that most British-born managers would like to compete in one day," he admits, "so it is an ambition of mine. But I've got a great job doing what I'm doing."
The Bhoys' title triumph sees the club qualify again for the Champions League, something Lennon says is already dominating his thinking a couple of days after the end of the season.
"It never stops. We've got qualifiers for the Champions League which are paramount to our season in mid-July so the preparations are well under way for that."