The 46-year-old won 11 trophies in seven years as a player at Parkhead, then five more during a four-year spell as manager.
On September 30, Lennon will take his new team to Celtic Park and find himself in the opposing dugout as he aims to inflict a first domestic defeat on Brendan Rodgers.
"Celtic were a huge part of my life and most of the country know that," Lennon told BBC Sport.
"The club meant a lot to me, but this is a different chapter in my career now and it is one I am enjoying very much.
"We have also got a semi-final at Hampden against them to look forward to next month, so it will be emotional in many aspects, but I have to be professional as well."
Lennon, who has also managed in England with Bolton Wanderers, signed a three-year extension to his Hibs contract in September.