Lennon was frustrated by his side`s lack of drive and urgency during their goalless home draw against Hibernian on Saturday as they fell 12 points behind Clydesdale Bank Premier League leaders Rangers.

Celtic have only won six of their last 16 games in all competitions and Lennon is baffled by their inconsistency, which was encapsulated in two games against Hibs.

Celtic overcame a half-time deficit to score four goals at Easter Road in the quarter-finals of the Scottish Communities League Cup on Wednesday with some vibrant attacking football.

But such fluency was in short supply three days later as Celtic failed to break down the same team at home.

Lennon admits he has considered whether he is the right man to take Celtic forward but he is eager to turn results around for the supporters along with majority shareholder Dermot Desmond and chief executive Peter Lawwell.

"I get great support from Mr Desmond and Peter Lawwell," Lennon said in the Evening Times.

"So, in that respect, if it comes to the point where I think it is irretrievable, I will sit down and speak to them and see what they want to do.

"I speak to Mr Desmond every week, and he is hugely supportive. He is pretty encouraging towards myself.

"They have shown a great faith in me, and I want to repay that. But I've got to start that by getting results."

Lennon added: "I have shown a lot of faith in these players, and they keep letting me and my backroom staff down at the minute.

"I don't know if it really hurts them enough, or if they treat it with indifference."

Celtic also lost ground on second-placed Motherwell and will fall six points behind Stuart McCall`s team if they lose at Fir Park on Sunday.

Former Celtic striker Andy Walker has questioned whether there is enough leadership and character in the team to put their title challenge back on track.

"I think it`s a very soft team," Walker told Sky Sports News.

"Their approach to the game is lacking. I would just like to see some leadership and some players step up to the mark.

"There have been three or four captains this season. The club captain, Scott Brown, has been out injured for a while. (Daniel) Majstorovic was vice-captain but his form has been pretty poor. Charlie Mulgrew has been captain, Mark Wilson has been captain.

"It`s up to those with a bit of experience to try to show the way. Neil Lennon is a young manager and it`s a big test for him to see how he can overcome this problem and try to get some of the players back onside.

"I think the problem for Celtic is they can play some really good football but it`s always been in 20 or 30-minute bursts and it`s a real mystery as to why they are performing like this when you compare the Celtic of last season, who were able to rack up a good number of points and a lot of good football.

"The make-up of the team has changed. I think the relationship between the manager and some of the players has changed, and I think that`s a big problem."

Walker, whose goals helped Celtic win the double in their centenary season in 1988, added: "Some of the problems Celtic have had are not entirely Neil Lennon`s fault.

"He is a young manager who has been put in place. There is a great deal of guidance in terms of the transfer policy the club have.

"It`s a very young side with a lack of leadership and a lack of characters and one or two of them have to show they have the stomach for a bit of a fight.

"They have to show they can go on a winning run of five or six games, that would be a start."

Celtic swept Motherwell aside with a 4-0 win at Parkhead in September with a clinical display they have struggled to replicate.

But the Lanarkshire side have won all eight games in which they have scored first this season, and although they have suffered some heavy defeats against the Old Firm recently, they showed they could hold on to a lead when John Sutton netted an early goal in a 2-0 win over Celtic in February.

And Walker, who began his professional career at Fir Park, is not convinced the Celtic players have the same levels of effort.

"The beauty of the Motherwell team is that it practically picks itself," Walker said.

"They have had a good run of luck in terms of team selection but they have taken advantage of that.

"They are a team that pretty much knows what their team-mates are going to do and give 100% commitment. I don`t know if you can say the same about the Celtic players.

"Celtic supporters are the same as any supporters, they can forgive a certain lack of ability but when you hear the manager accusing his players of not giving absolutely everything then that is pretty much unforgivable.

"It will be interesting to see the type of energy, drive, commitment and will to win and what sort of performance the Celtic supporters will get this weekend."