Celtic will take on Old Firm rivals Rangers in the semi-finals of the prestigious cup competition later this month.
Former Celtic manager Lennon believes that Ronny Deila’s side need to improve if they are to get the better of Rangers at Hampden Park in Glasgow.
"I think Celtic will have to improve before the semi-final," Lennon told The Daily Record. "They've got two games coming up and they can look forward to playing Dundee at Dens Park on Tuesday with their points cushion.
"And then it's Motherwell at Fir Park on Saturday. But I believe the Cup tie at Hampden a week on Sunday is a game the players need.
"The atmosphere will be powderkeg and everyone is talking about it and looking forward to it. The Celtic players need that competitive edge."
Celtic’s recent performances and results have been encouraging, and the Glasgow giants are certainly back in form.
However, as Lennon suggests, the Hoops will have to step up their game against Rangers.
Rangers are virtually guaranteed of getting automatic promotion to the Scottish Premiership at the end of the season.
Manager Mark Warburton has a strong team at his disposal, and the players will be determined to show their quality against Celtic.