In the wake of the Hoops' Champions League last-16 exit on Wednesday night at the hands of Juventus in Turin, the prospect of the Northern Irishman attracting interest from other clubs on the back of such an impressive run was acknowledged by chief executive Peter Lawwell.
Even Hoops keeper Fraser Forster, when asked about his manager possibly moving on, said he "could definitely see it happening."
However, ahead of tomorrow's Clydesdale Bank Premier League clash with Ross County in Dingwall, the Parkhead boss said: "It (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.
"Does it flatter you? 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 former Celtic skipper has warned his players that they, and indeed he, might not "get it better than this" if they leave the Scottish champions who are on their way to retaining their SPL title and have a William Hill Scottish Cup semi-final against Dundee United to look forward to next month.
"You guys (media) create the speculation," he said. "The minute we get a player in who does well, it's as if you can't wait for him to go somewhere else.
"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.
"We can't compete with smaller clubs elsewhere who get more money from TV revenue, that is the environment we are in and we understand that.
"But as I have said I don't want to stop players' progress, I want them to go and succeed."
The Northern Irishman looked back fondly on "so many" highlights in this season's Champions League campaign.
He said: "Qualification (for group stages) against Helsingborg was fantastic.
"In the first game we had to weather a 15-20 minute spell where it could have gone belly up.
"The win against Spartak in Moscow was monumental for everyone and then the two titanic games against Barcelona.
"It was like sitting ringside watching a heavyweight world title fight and it going 15 rounds. It was magical.
"And then qualification to the last-16, beating Spartak Moscow, a team with that budget, in two games, was, for this young team....they might never get it better than that and I might never get it better than that a manager.
"So I have a lot of very happy memories from this season."
Lennon concedes that he will now have to guard against a European comedown in the final few months of the season.
"Absolutely," he said. "I think that is a fair point.
"We go to Ross County tomorrow, who are having a fabulous season.
"Derek (Adams) has done wonders there but going from Juventus in the last-16, to Dingwall, in some people's minds, is a step down but in my view it is a very important game.
"You have got to motivate the players, there is a championship to win and you've got your own targets to achieve."
Meanwhile, Celtic will be without six players for their Clydesdale Bank Premier League clash with Ross County in Dingwall tomorrow.
Victor Wanyama and Adam Matthews suffered hamstring injuries in the 2-0 Champions League last-16 defeat by Juventus in Turin on Wednesday night, while Georgios Samaras and Emilio Izaguirre both picked up strains.
Scott Brown (abductor) and Mikael Lustig (thigh) remain on the sidelines although Tony Watt returns from a bruised foot.
Provisional squad: Forster, Wilson, Rogne, Ambrose, Mulgrew, Kayal, Forrest, McGeouch, Ledley, Commons, Hooper, Stokes, Miku, Lassad, Zaluska, Watt, Chalmers, McCourt.