The Northern Irishman is keen to carry Celtic's domestic form into the Champions League group stages after a 6-0 win over KIlmarnock at Rugby Park - watched by over 13,000 Celtic fans in a 15,000 crowd - helped his side secure a 43rd Scottish flag.
Celtic last qualified for the group stages of Europe's premier tournament four years ago. They reached the last 16 under Gordon Strachan in 2007.
"There’s no doubt we need to trim the squad a little and we’ll look to do that, as well as enhancing the squad with two or three additions of undoubted quality," said Lennon.
“It’s important for the club that we look at the Champions League qualifiers and aim to get into the group stages. We’ll look at the close-season programme and pre-season with that in mind.
“We’ve got to find the recipe because if we get it right it would really enhance our season.
“I want us to be consistent in terms of winning championships, that’s the theoretical aim. It’s easier said than done.”