But Klopp, whose side reached the final of the competition in 2017-2018, does not understand the former Manchester United captain's reasoning.
Four wins from four in the opening stretch of the season spoke well of Liverpool's ambitions without them ever quite hitting top gear, but the relative ease with which they dispatched Spurs counts as a statement. Bring your kids into the Champions League, that would be amusing.
Liverpool thought they had the lead inside 45 seconds when Firmino touched James Milner's excellent cross beyond Michel Vorm, but Sadio Mane prodded at the Brazilian's effort from an offside position.
"The issue will be monitored and treated by Liverpool's medical staff at Melwood before any decision is made on whether Firmino will be able to figure in Tuesday evening's Champions League encounter with Paris Saint-Germain at Anfield".
"I know that's very hard to do but if they could go into February, March, April without it, I think they could have a real chance [of winning the league] if they had free weeks". But I think it wasn't his mistake.
Manager Klopp has since responded to Neville's comments in a press conference on Friday.
Next up is that meeting against PSG in the Champions League, where the trio will have to be at their best to outscore Neymar and Kylian Mbappe. I don't know exactly at the moment, but it's something with his eye.
"How do you prepare for a game when you don't focus on it?" We have to play football. "That would be amusing".
Liverpool sits in first with 12 points after four wins in its first four games of the Premier League season.
Not much difference on the face of it, but look deeper and you see that only Gomez remains from last season's Liverpool defence that was given such a torrid time by Kane.
The onus is now on Chelsea and Watford to keep pace with Liverpool when they host Cardiff and Manchester United respectively later on Saturday. The club he's more interested in.
Meanwhile, Liverpool have won all four of their Premier League games this season and will be looking to continue their flawless start to the season.