The Hoops currently stand 16 games without a loss which has them ten points clear on top of the table but Lennon made it clear that getting through the campaign without tasting defeat was not a target despite skipper Scott Brown suggesting otherwise.
"It is something that people talk about very prematurely," said Lennon ahead of the Boxing Day trip to St Johnstone.
"I wouldn't say (it was) impossible but it is a very difficult thing to do so I wouldn't get too far ahead of ourselves on that.
"We are 16 games into a 38-game season so we are not even halfway there, so it is still a lot to ask for.
"What I am pleased about is that we are unbeaten (in the league) since the start of the season which, considering the amount of games we have had, is a very good effort so far.
"What I want to do in the festive period is to try to increase the gap at the top and give ourselves a bit of leeway going into the break we are taking in January and be ready to go again."
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