Victory over Hibernian at Celtic Park, coupled with a home defeat for Motherwell against St Mirren, would give Lennon a second straight winners' medal and keep the club on course for a domestic double.
And the manager is excited by the prospect of securing the title in style with an 11th straight home win.
He said: "I would be delighted, thrilled. It's a great feeling, it's a great sense of achievement and it's been our priority from the start of the season.
"Obviously Europe was a high in the season but to put another title on the record of the club would be brilliant and would be great for the players as well and thoroughly deserved.
"First of all we have to beat Hibs and then see what the Motherwell v St Mirren game brings.
"We are at home and our home form has been sensational for the last seven or eight games.
"We've won 10 in a row at home and I want to maintain that. I want us to play with a bit of swagger that's been missing for the last couple of weeks."