Lallana has emerged as one of Klopp’s key players on Merseyside, overcoming a slow start to life with the Reds following his £20 million move from Southampton in 2014.
With the club seeking to tie down their best talent to new contracts this year, Lallana is the latest to extend his terms.
The 28-year-old is believed to have signed a three-year, £110,000-a-week deal, with the option to extend the contract by a further year.
This would keep him at Anfield until 2021, when he will be 33, in a hotly debated move by Liverpool’s recruitment staff, now led by sporting director Michael Edwards.
Both Coutinho and Joe Gomez signed five-year deals back in January, but are considerably younger than Lallana, with this extension underlining Klopp’s faith in his No. 20.
His performances in a new box-to-box role in midfield have been widely lauded, providing Liverpool with the dynamism required to operate within Klopp’s demanding, high-intensity system.
Speaking in September, Klopp hailed Lallana’s intelligence and integrity, as well as his versatility and resilience, in highlighting him as a “very important” player for the Reds.
“He’s a very smart guy and has really settled in at Liverpool. After his start, now he has 100 percent settled in. A nice guy,” he said.
“I knew him from Southampton and I was looking forward to working him.
“He is good, he can play different positions and he’s mentally strong. A smart player.
“He’s very important to the team both as a player and a person.”
While Lovren is not expected to be an issue, Can’s representatives have struggled to agree terms with Liverpool so far, with the German’s current deal set to expire at the end of next season.