England international Lallana has flourished since Klopp took over at Anfield in October 2015 having initially struggled following his 2014 move from Southampton.
Lallana emphasised his growing importance to Liverpool with a superb strike in Sunday's 4-1 rout of Premier League champions Leicester City at a redeveloped Anfield.
Klopp says Lallana is flourishing after fully settling at the club, and the manager may even be able to pop into the 28-year-old's house for a drink from time to time.
