Mane scored the first goal in Liverpool’s 3-0 victory over Crystal Palace on Saturday which took the Reds to the top of the Premier League table.
The 29-year-old’s strike against the Eagles also made him the first player to score in nine straight games against a single opponent in the Premier League.
“It's impressive. Obviously, all the boys up there do so much for the team – not only goal,” Milner was quoted by the Liverpool website.
“Assists, working for the team off the ball and how we play and press, we couldn't do it without the front boys starting it off.
“But Sadio has great quality, scored all types of goals and very important goals as well.
“Pleased for him because he's such a good player and he deserves the accolades he gets.”
Klopp added: “He did, he did [contribute so much]. People obviously forget but around these 100 goals he worked incredibly hard, defended for us the wing, pressed high, counter-pressed, created goals, set up chances, all that kind of stuff.”
“So, the 100 goals are just one number, there are so many other numbers which are similarly important, but I’m really happy for him that he could reach that today.
“Yeah, a massive achievement. In the glorious history of this club only 18 players - if that is right - scored 100 goals, that says a lot.
“Nowadays players are usually not that long in clubs so I am really happy that I could work now already for five years with Sad and he’s just a top player.”
Mane joined Liverpool from Southampton for £34m in the summer of 2016 and has won the Premier League, Champions League, UEFA Super Cup and FIFA Club World Cup in his time at the club.