The league-leading Hoops have lost two and drawn one of their past three league outings at Celtic Park and manager Lennon is keen for the run to end when they host St Mirren on Saturday.
"We have achieved something very special and now we can concentrate on SPL duties," said Lennon.
"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 we start to play like the champions we are, consistently in the league.
"You can look for all sorts of reasons and excuses for the home form but it's something we must remedy and we want to remedy.
"Our away form has been fantastic but sometimes the atmosphere at home, particularly after European games, is obviously flatter.
"The weight of expectation and the heavy load of games plays its part but we have to start playing better at home.
"Up until Kilmarnock beat us, we hadn't lost at home for over a year so I want that back as quickly as possible."