The Brazilian forward was thought to be in advanced talks to join The Old Lady, but the Reds have are now ‘putting up a wall’ to stop the player exiting Anfield this summer.
Firmino has just a year left on his deal with Klopp's side, and is highly regarded amongst the fanbase and staff as one of the club’s most important players in the last decade.
Since signing for Liverpool in 2015, Firmino has played more than any other player under Jurgen Klopp, featuring for the Reds 327 times, scoring 98 goals and registering 67 assists in all competitions.
Despite falling down the pecking order behind new boy Darwin Nunez and Diogo Jota, the Brazilian is still expected to play a part this campaign.
This could involve nurturing younger players and playing in cup competitions, as well as coming off the bench in the Premier League.
Liverpool have already sold Sadio Mane to Bayern, Takumi Minamino to Monaco and released Divock Origi, who eventually joined AC Milan, so it would seem foolish to sell yet another forward.
Jurgen Klopp addressed the reports in a press conference today ahead of their Community Shield clash against Man City.
"Bobby is crucial for us, the heart and soul of this team,"
“Everything looks really good and I am absolutely fine with Firmino."
"For me, no doubt about his quality, so yes, he is essential for us."