The 41-year-old admits it is "nice recognition" to be made a favorite for the Toffees' vacancy, but insists he is happy at Celtic with "a great set of players" at his disposal.
The Toffees are reportedly targeting Wigan boss Roberto Martinez to replace the outgoing David Moyes, but Lennon is now the favorite with several bookmakers to land the role at Goodison Park; however, the 41-year-old Lennon insists he will not be leaving the "great job" he has in Scotland – although he is happy to receive recognition for his work.
"Of course, it is nice recognition," Lennon told reporters. "Roberto Martinez was favorite yesterday and I'm favorite today, it could be someone else tomorrow.
"But all of it is speculation. I have a job here, I have a great job, a great set of players, a great support, so I am pretty happy here."
After a successful playing career lasting 21 years, Lennon became manager of Celtic in 2010 and has won two Scottish Premier League titles and one Scottish Cup and guided the club to the knockout stage of the UEFA Champions League this season.