The examinations begin this weekend when they travel to take on fired-up Motherwell.
With the battle for second spot still tight, and Europa League places up for grabs - not to mention thousands for every position clubs can finish higher up the table - the Hoops boss has warned his players their hard work is not over yet, even though they have secured the title.
Lennon said: "We want to finish the season strongly.
"We have good games coming up with the top five now, and they will all be really good tests for us, whether they are home or away."
Celtic's previous visit to Fir Park this season, in December, resulted in one of their best performances as they crushed Stuart McCall's side 5-0.
But, Lennon acknowledges Motherwell recovered well from that setback, even if they have suffered a few more hiccups, and said: "They have a real fight on for second place and are in a brilliant position at this stage in the season.
"However, they will have been disappointed to have been 2-0 up and lose 3-2 at St Mirren in their last game, and they will be looking to bounce back from that.
"But, we will be strong again, and I am enjoying watching us play just now."
Lennon plans to continue to involve players who have not seen as much game time as they would have liked this season, and to reward one or two of the rising stars trying to burst through from the Development Squad.
But, he will not lose sight of the need to keep the fans happy - and that means winning, preferably in style.
"We might just look at tweaking the system a little bit," he told the Celtic View.
"But what I am looking for is the players to entertain and play winning football.
"I don't want to change the team too much as the players are playing well.
"We will see what the two-week break brings, but they should come back fresh and ready to go again."