Lennon has enjoyed a successful transformation from player to manager at Celtic Park, helping to re-establish the Hoops in the Champions League this season.
With a domestic double still a realistic possibility, Lennon believes that he has more to achieve with the Bhoys in the next few seasons.
He told reporters at yesterday's pre-match press conference: "[Speculation] makes no difference to me. I am the manager of Celtic and I am one of the privileged few who have been lucky enough to do this job. I enjoy it, I love what I do.
"I can't stop speculation about players or myself but at this current period I am Celtic manager and I don't see any reason for that to change in the future. It just means that you might be doing a decent job along the way. But why are we talking about me leaving Celtic all of a sudden? I am only three years into the job. I am doing my job, I haven't done a job.
"I want to improve myself, the team, the players and take the club forward. We have made huge strides this season. It is going to be difficult to replicate it next season but that is the challenge that lies ahead."
A return to Scottish Premier League action awaits Celtic this afternoon with a trip to Ross County.