The Parkhead boss has built a good reputation after guiding his club to SPL titles and, this season, a place in the last 16 of the UEFA Champions League.
Lennon remains happy at Celtic but the former Leicester City midfielder also has targets of returning to England's top flight in the future.
He said in the Daily Record: "I'm ambitious and maybe one day, if I'm still good enough, a Premiership team might shine the eyes at me and it would be something to consider.
"I'm very happy here at the minute but who knows? This time last year I was thinking about resigning, because we were 3-0 down at half-time to Kilmarnock and 15 points behind Rangers.
"It's funny how football changes so quickly so I'm aware it can change quickly again.
"I love what I do here and have a great feeling and affinity with the fans and the club. But you never know where football takes you."