But given the fact the Scotland international has already bagged seven – eight if you count the deflected shot which set the Hoops on their way to a 5-0 rout of St Johnstone on Tuesday – it should be well within his range.
When you consider Commons bagged 14 in just 21 appearances when he arrived at the club in January 2011, it should certainly be attainable.
It makes last season's fall from grace by the 29-year-old all the more inexplicable.
But, while Lennon is understandably delighted to have goals raining in from someone playing behind the attacking line, he refuses to set Commons any specific target.
All he asks is that he continues to shoot on sight.
"I think Kris will get a good quota of goals," said Lennon as he reflected on the start the player has made to the campaign.
"I don't know how many he has got already this season. He must be near double figures. So there is no reason why he can't go 15 to 20.
"I am not setting him any targets. I just want him to keep playing. But it is not just his goals. He is a creative player, and his pass for Gary Hooper's goal against St Johnstone was superb.
"His set-piece delivery was also excellent. He played with real intent, and that was the response I was looking for."
Lennon understands how important it is for a player to feel good, both physically and mentally, and believes this is one of the main reasons why the man signed from Derby for a bargain £300,000 is back to his very best.
"He has come back from the summer in really good nick," said Lennon. "He's bright, and you saw all of that manifest itself against St Johnstone.
"Kris was disappointed at the weekend (after his performance against Kilmarnock). We had a word with him, and the response we got on Tuesday was everything we wanted from him.
"He has set his standards high again. That's where I want him to be, and there is no reason why he can't be because he has worked so hard to get to that level.
"Kris is just like the rest of them in that he let himself down a little bit last weekend."
It is often the case that if one particular player is on his game, the team will be, too. If he is struggling, the team fails to fire.
Georgios Samaras is one case in point, especially in big European matches, and Commons is getting close to that kind of status.
Lennon is quick to try and prevent any undue pressure being heaped on his broad shoulders, and pointed out: "Well, Kris didn't play at St Mirren – and we won 5-0.
"But he knows he is an important player. And when he plays like he did against St Johnstone, he is pivotal to the way we want to play.
"Kris can also play in a variety of positions in the forward line. He is intelligent, and we like intelligent players. Above all else, he has a real killer instinct at times."
Operating in the hole just behind the main striker is where Commons can wreak most havoc.
When it is the pacy Tony Watt who is leading the line, his speed worries defenders so much that they tend to drop deeper, increasing the space in which Commons and Hooper can operate.
Lennon likes that extra threat and will continue to mix and match his attacking options according to the opposition.
St Johnstone in the Scottish Communities League Cup is a different proposition from Dundee United in the SPL, and a quantum leap from Barcelona in the Champions League.
The key is selecting the best attributes for the particular occasion, and 18-year-old Watt's contribution to the cause in recent weeks has been a huge asset in Celtic's armoury.
Like James Forrest before him, the manager has ignored the lack of years and been prepared to give the kid his chance to transfer his developing talent to the bigger stage.
The sight of Watt dragging worried defenders into areas where they are uncomfortable, desperate not be left trailing in his wake, brings a huge smile to the manager's face.
"Tony, Georgios Samaras, even Lassad Nouioui. They all give us that extra dimension." said Lennon. "But Tony takes the ball in really well. He has got good feet and his touch is getting better.
"He still needs to work on his awareness, but I think that will all come with experience. Considering the players we have out, and the role he has played, Tony has been a huge bonus for us."
Hooper could be the latest striker to join the list of absentees, unless the hamstring problem which forced him off against St Johnstone turns out to be nothing more than a tweak.
Nouioui is already in the treatment room, and Anthony Stokes has been there since the first few weeks of the season with an ankle problem.
"We are looking at late this month, middle of next month for Anthony," reported Lennon. "That has always been the timescale.
"He has been unfortunate. He has always been fit and this is probably the first serious injury of his career.
"Anthony is working really hard and is developing his body in the gym. When he comes back in good shape he will be a bonus for us at that stage of the season.
"Lassad is only a week or two away. So, if we can hold the fort until we get these boys back, then we will be in good nick for the upcoming games."