Liverpool were not in the usual form that fans of the Premier League have come to expect, despite starting very brightly in the first half.
Klopp's team started in extremely attacking fashion, as they worked Matt Ryan on several occasions in the opening part of the match in using their full-backs Andy Robertson and Trent Alexander-Arnold to provide balls in to the box.
It was Alexander-Arnold who had the first big chance of the game, as he struck a free-kick excellently that smashed against the frame of the Brighton goal.
Brighton had done well to defend up until that point, and were looking to play themselves but gifted Liverpool the goal.
The away side were caught in possession in their own half by smart Liverpool pressing led by James Milner, with the ball moved quickly to Roberto Firmino. The Brazilian played in his team-mate Salah, who struck the ball first time from the edge of the box to slide the ball in to the far bottom corner of the net.
August 25, 2018
For all Liverpool's dominance after that goal, they could not find a way to convert any more chances and Brighton went in at the break believing that they were still very much in the game.
The visitors had a brighter start to the second half and managed to nulify the Liverpool threat more effectively and hope that set-pieces could give them a way back in to the match.
Brighton's best chance in the game indeed came from a dead ball situation, when Gross headed the ball well towards goal and drew a good reaction save from Alisson.
The Brazilian keeper was a lot more involved in the game as it went on, and acted decisively from set pieces and even showed a characteristic party trick with the ball when he flicked it over Anthony Knockaert.
The 'Seagulls' tried their best to get something from the game, but couldn't get the decisive goal as the Liverpool defence remained strong, while the attacking players faded as the half went on.
Jurgen Klopp will be happy with a result that leaves them top of the table, having not conceded a goal in the Premier League so far this season. However, he will not be happy with the second half display.
For Chris Hughton, he will feel the direct opposite to the Liverpool boss, and will feel that his side's spirited performance deserved at least a point.