Klopp said on Wednesday that Liverpool are a “different club” to some of their rivals, as they are “not owned by countries or oligarchs”, and warned it will take more than a heavy investment to wrestle the title from their grasp.
Lampard spoke last season about his admiration for Klopp and the job he has done over five years to build Liverpool into champions last season.
But the Chelsea boss has hit back at the swipe from Klopp this week and pointed to the money Liverpool have spent while the German has been in charge at Anfield.
Liverpool have spent over £300m on Virgil van Dijk, Alisson, Fabinho, Naby Keita, Sadio Mane and Mohamed Salah, and Lampard has said big spending is standard at big clubs.
Asked about Klopp’s comments, Lampard said: “I was less annoyed with it, I found it more, slightly amusing I would say. When you talk about the owners of clubs in the Premier League, I do not think it matters what line of business they come from. We are talking about some very wealthy owners.
“With Liverpool’s story, I think it is a fantastic story of a club over the five years that Jurgen Klopp has been there that they have managed to get recruitment right to a really high level.
“The reality is that, probably other than Leicester, most clubs that win the Premier League in the modern day have recruited well at quite a high level money-wise. You can go through the Liverpool players, Van Dijk, Alisson, Fabinho, Keita, Mane, Salah, incredible players that came at a very high price. But Liverpool have done it over a period of time.
“What we have done is come off the back of a ban, probably tried to address the situation ourselves to help improve us, but I think it is par for the course.
“There is no point in doing the maths too much with it, we all know Liverpool have spent at a high level. They have spent huge amounts.
“We know they have an incredible coach, incredible players and the smart thing that Liverpool have done is believe in their coach and their system for a number of years. It is a great story but it is a story that has spent money on players.
Chelsea are ready to take their summer spending to around £250m by signing Rennes goalkeeper Edouard Mendy, having already brought in Hakim Ziyech, Timo Werner, Ben Chilwell, Thiago Silva and Kai Havertz.
Ahead of Monday’s opener against Brighton, Lampard said: “This summer we have spent money on players and now the hard work has to be done.”