The Hoops won the Scottish Premier League by 16 points last season, but after losing seven matches during their title-winning campaign, Lennon has called on his team to perform on a more regular basis.
The 42-year-old told BBC Sport: "I would imagine that we'd be heavy favourites, but we have to improve on the domestic front from last year.
"We lost seven games last season. I want to improve upon that. There is room for improvement. I'd like to improve consistency."
Celtic begin their league campaign on Saturday with a home match against Ross County.