Lennon has been strongly linked with the managerial vacancy at Sunderland.
The Celtic boss has insisted that he has not considered a move to the Black Cats.
“It would take something special to lure him away,” Lawwell told the Daily Record.
“This is a special club. It’s a special job. If I was advising him as a friend, it’d have to be something different.
“If he continues to do as he is, then there will be approaches. It’s inevitable.
“But he’s focused on what we’re trying to do and he buys into it. He’s given me no indication that he wants to do anything else. He’s a Celtic guy and that is a big plus.”
“I’m not aware of me being linked with anything. You are asking the wrong person,” Lennon told Sky Sports News.
“I don’t like answering questions on this kind of thing.
“Maybe you should ask the people linking me with the jobs. I’m not aware of who they are. I’m very happy doing what I’m doing at the minute.”
