Liverpool look as if they have started to tighten things up at the back.
The Reds' defence came in for some criticism earlier on in the season for not being tight enough, but they have shown their sterner side in recent weeks.
But Lovren does not want the side to rest on their laurels, telling liverpoolfc.com: “Of course, it’s important to have a clean sheet but when you’re in the Premier League it’s really tough. I always prefer the three points.
“I think we’re on 85 per cent. We’re in good shape, everyone is doing well, but I think we can be better."
Lovren has developed an excellent understanding with Joel Matip at the heart of the Reds defence as the pair do not seem to give too many opportunities away.
Jurgen Klopp's preferred back line of Lovren, Matip, Nathaniel Clyne and James Milner appears to be showing signs of getting more and more solid as the season goes on.
A different back line of Trent Alexander-Arnold, Lucas Leiva, Ragnar Klavan and Alberto Moreno managed to stretch the small run of clean sheets in the week.
It is encouraging that Lovren feels there is room for improvement at the back. The defence also seems to be getting to grips with Loris Karius in goal. Even if there are still one or two issues for the 23-year-old to iron out in his game, his understanding with the back line immediately in front of him seems to be growing by the game.
Liverpool may be the highest scorers in the league but it is clear they know they have to be solid at the back. Although they have conceded the most league goals out of the top five, it must be noted that five of them were conceded in the first two games. Since then they have conceded nine from 11 so there are some positive signs.