First-half goals from Sadio Mane and Philippe Coutinho put the Reds in command, before Gareth McAuley pulled one back for the visitors against the run of play with nine minutes remaining.
But Klopp's team held on to secure a win that moves them up to second in the Premier League, behind Arsenal on goal difference.
Read on for a full transcript from the boss' post-match press conference...
On whether it should have been more comfortable for Liverpool…
In dreamland then you always win four or five-nil and then the crowd can go a little earlier and do something a more serious.