The Parkhead club confirmed they planned to exercise their option for another year on the contract of the 30-year-old, who has more than repaid the £300,000 he cost from Derby County in January 2011.
And with the Celtic manager keen to foster a "boot room" mentality at the club, that may just be the beginning for the player, who is currently nursing a hamstring problem.
"We haven't pushed the button on that one [the option for another year] but we will do," said Lennon. "Kris is a player I would like to keep around for quite a while if I could. And maybe with a view to staying on here afterwards as well in a coaching capacity, again that is something I would sit down and discuss with him because he has got the talent for it and he has certainly got the personality as well. He has been fantastic for us and I think it is important we keep players on here who understand the club."
The love-in is a far cry from late 2011, when internet rumours abounded that player and manager had come to blows. "I don't know where that came from," said Lennon. "I have never lifted a hand to a player and I never will."
Meanwhile, Lennon hinted that Celtic could request a winter break in January - particularly should they qualify for European football beyond the New Year. Under SPFL rules, clubs can apply for free weeks on the first two Saturdays of 2014, dates where they are scheduled to travel to St Mirren, then host Motherwell - with rearranged matches squeezed into midweeks at the end of January.
"Last year's break was very beneficial," said Lennon. "Talking now … if the option was there at the minute I'd take it. This [today versus Partick Thistle] will be our 20th competitive game. It's been such a heavy workload for the players so they may need that wee break. It might be beneficial for them all."