The Hoops are two points clear of Old Firm rivals Rangers at the top of the Premier League ahead of today’s home game against Dundee United.
Lennon’s men eased through their Scottish Cup fourth-round tie at Peterhead last week while they face Falkirk in the Scottish Communities League Cup semi-final at Hampden at the end of the month.
Lennon was at Celtic Park yesterday to pick up his Clydesdale Bank Premier League manager of the month award for December, with midfielder Victor Wanyama collecting his young player of the month award.
Asked if he had instructed his players to leave out all talk of the treble, he replied.
“Absolutely. You know what it’s like. The build-up, the build-up and build-up and one bad day and it’s gone. I already said the treble is almost impossible to do, so I don’t want any talk of that. There’s no point in talking about it at the minute.”
Lennon, though, was quick to praise his players when discussing his award.
“It is a testament to the team and the consistency they have shown,” he said. “I’m pleased with what we have shown and I think there is motivation to keep it going.
Lennon is still trying to strengthen his squad and revealed Nigerian midfielder Rabiu Ibrahim, 20, and Icelandic winger Ingolfur Sigurdsson, 18, will extend their trial period. He said: “We are having a look, they will be here for another couple of days. But we have been impressed by both.”
The former Celtic skipper, though, admits he is “bored” with the transfer window.
“I don’t like it,” he said. “I think we should go back to having an open market throughout the season. You have to do all your business in a short period of time. It is difficult to do that at times.
“I get bored with it. I get bored answering the same repetitive questions, speculating on players coming in and going out and I can only reiterate that I don’t want to sell any of my players and if I can add one or two to my squad then I will try and do that.
“But January is a difficult time, clubs want to hold on to their better players and negotiations can be difficult. But we are still looking. If there is a player who can make us better we will look at it.”
The Celtic boss revealed defender Mark Wilson and Glenn Loovens are back in training after recovering from respective knee and hamstring injuries, while stopper Daniel Majstorovic, who sustained a fractured cheekbone against St Johnstone in December, could be back for the cup semi-final against Falkirk.