The 2-0 win over Hearts at Parkhead on Saturday stretched the Hoops' run without a defeat to 16 games and skipper Scott Brown wants to extend that run until the end of the season.
However Lennon, whose side are already 10 points clear of Dundee United at the top of the table, is not getting carried away at this stage.
"It is something that people talk about very prematurely," said Lennon.
"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."
Watch Celtic take on St Johnstone live on Sky Sports 1HD at 3pm on Boxing Day