Brendan Rodgers said it will take something "drastic" for Luis Suarez to leave Liverpool and expects the wantaway striker to stay at Anfield.
Suarez has made it clear he wants to move on, claiming he has been persecuted by the British media and suggesting Real Madrid is his preferred destination.
But while Rodgers warned the 30-goal forward that he is not bigger than the club, he has vowed to keep the 26-year-old.
And he has warned would-be buyers that Liverpool value Suarez at much more than £30 million, the offer they received from Arsenal and the only bid that has been tabled so far.
"Luis Suarez is a wonderful player and he is still very much a Liverpool player,” Rodgers said in Jakarta, Indonesia, where Liverpool are on their pre-season tour.
"No matter who the player is, nobody is bigger than Liverpool Football Club.
"Luis is a very important member of this squad and I am looking forward to working with him again this season after he had such a fantastic season.
"There has been lots of speculation about Luis moving to another club but, as I said, he is very much a Liverpool player.
"We had an offer that was nowhere near what we value him at. He's one of the top strikers in the world.
"Of course he wants to work and play at the top level. But unless something drastic happens, he will be staying here."
Suarez’s current deal does not expire until 2016 and Rodgers has charged the former Ajax forward with propelling Liverpool, who finished seventh last season, into the top four.
He added: “He has got three years left on his contract. We are looking forward to him helping us get into the Champions League spots.
"That's a competition we are fighting to get into. The great name and history of Liverpool dictates it should be in that competition.
"It is difficult these days with the finance some clubs have but I believe that we will put up a great fight this season. Let's hope we can get back to where we belong."