The Northern Irishman has been attracting attention after his side's run to the Champions League last 16, where they were beaten 5-0 on aggregate by Italian champions Juventus, but says that there is work still be done at Parkhead
Lennon told the press: "[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.
|25/1||Celtic are 25/1 with BetVictor to beat Ross County 4-1 away on Saturday
"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."
The ex-Celtic captain also blasted the media for creating speculation about the futures of some of his players, suggested that they might not get a better experience at other clubs.
"You guys [the media] create the speculation. The minute we get a player in who does well, it's as if you can't wait for him to go somewhere else," the 41-year-old complained. "It's as if this is just a passing phase in their career. I have told the players this before; they may not get it better than this.
"They may not get to play at such a big club, to play in the Champions League and to have the chance to win trophies year-in, year-out. The only thing that hampers us is that we are in a difficult financial climate.
"But, as I have said, I don't want to stop players' progress; I want them to go and succeed."