Celtic will discover next Thursday who they will face in the last 16 of Europe's elite club competition after qualifying out of Group G along with winners Barcelona.
Buoyed by that achievement, they stretched three points clear of Inverness at the top of the SPL last week with an impressive 3-1 win over Kilmarnock at Rugby Park.
However, that was in stark contrast to previous performances on the domestic front, especially in some of the matches which have been played in front of a less than packed Celtic Park. Indeed, against St Mirren on Saturday, the champions will be looking for their first home league win since the beginning of October when they beat Hearts 1-0.
With European football on the backburner until February, Lennon wants his side to start providing the Parkhead fans with some exciting SPL fare.
"We have achieved something very special and now we can concentrate on SPL duties," he said.
"Everyone thinks it is pretty mundane compared to the Champions League but I wouldn't say mundane, I think it is our priority and it is important that we start to play like the champions we are, consistently in the league.
"You can look for all sorts of reasons and excuses for it (the home form), but it is something that we need to remedy and we want to remedy.
"Our away form has been fantastic but sometimes the atmosphere at home, particularly after the European games, is obviously flatter. The weight of expectation and the heavy load of games plays its part in that, but we have to start playing better at home.
"Up until Kilmarnock had beaten us, we hadn't lost at home for over a year so I want that back as quickly as possible."
- Sports & Recreation