Klopp keen to tie down Firmino and Milner to new contracts
Firmino, 31, was a vital part of Liverpool's Premier League and Champions League wins under Klopp.
The Brazilian international has scored nine times in 21 appearances this season but looks to have been pushed down the pecking order in the longer term by the arrivals of Darwin Nunez and Cody Gakpo.
"Bobby knows the situation here and what we think of him," said Klopp.
"He is really important, the link-up, in tight areas having a player with his footballing intelligence, you can develop the game from here.
"He is unselfish and you don't get that very often. Great player.
"I don't know 1,000 percent what his plans are. Maybe someone else will offer him something better?"
Klopp dismissed claims earlier this week that he is "too loyal" to some of his stalwarts but believes Milner, who turned 37 earlier this month, also still has plenty to offer on and off the pitch.
"It is not that Milly expects to play 64 games a season but in 64 games a season Milly could be extremely important," added Klopp.
"I am pretty sure the club should use his character and his mindset because it is really special.
"There might be more fancy players out there but no one with a similar mindset and that makes him incredibly valuable for us."
