The Mali midfielder was dispossessed by James Milner and Mo Salah slotted his 29th goal in 29 Premier League games at Anfield with clinical precision.
Klopp has been ensuring since his arrival at Anfield that the first-team group remain grounded, with bigger tests awaiting them in the future.
The Premier League then stops for the worldwide break so it looks like the earliest we'll see Lovren in action is Liverpool's trip to Tottenham on September 15th.
"We've had two very hard games and we've come out with a lot of credit".
Chris Hughton's side beat Manchester United last time out and Klopp knows his side will have to be right on it to get their third victory of the new campaign. "One-nil is not a result we've had very often since I was in but I am very happy because it was the best we could get today". Jurgen Klopp's side has yet to concede a goal this season.
Brighton were caught out for Liverpool's victor as James Milner robbed Yves Bissouma of possession 15 yards outside his own area.
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Hughton added: "It's a poor goal, we try and move on from that as quickly as possible".
"You have to learn from it, but it is a soft goal". "But I thought we had chances of our own".
"At 1-0 down at half-time most people expected Liverpool to push on but we got stronger as the game went on".
"They came here and played football, they caused us problems, but we stood up to it and when we needed the goalkeeper he produced some really good saves".
While Liverpool did create enough chances to justify their win, it was Salah's presence of mind and confidence on his ability that allowed them to see the game off. "These things happen. You have to learn from it and get stronger in the game and that we did".