Lennon is being linked with the Sunderland post following the dismissal of Paolo di Canio.
"I canâ€™t really talk for Neil but if he continues to do as he is doing then, unquestionably, there will be approaches," said Lawwell. "Thatâ€™s inevitable.
"It depends who from and when. All I can say at the moment is heâ€™s focused on what we are trying to do and he buys into it."