The former defender thinks both suffering injuries could be a good thing for both players.
Defender Lovren was signed from Southampton last season but endured a difficult first season at Anfield as he and the rest of his defence struggled in the first half of the campaign.
Despite that struggle, manager Brendan Rodgers has continued with Lovren at the start of this season but the defender has continued to perform poorly in a number of games.
And Lawrenson says his absence through injury could be a blessing as it will see Mahmadou Sakho given a run in the side.
“The timing of Lovren's absence could be a blessing in disguise for both player and team,” he told the Liverpool Echo.
“It's now a big chance for Mamadou Sakho to stake a regular claim and maybe even for Joe Gomez to, at some stage, impress in his favoured position.”
Firmino absence will help him learn English game
Another player who has had a disappointing start to the season is midfielder Roberto Firmino.
Signed from Hoffenheim this summer in a big money, there was much anticipation among the Liverpool faithful that the Brazilian could be a star player for them this season.
So far he has struggled to adapt to the Premier League though, and Lawrenson says his injury could be a good thing as it will allow him to watch the game and improve his education.
“Roberto Firmino will also be missing for a while, and that's another injury that ultimately could prove beneficial to the player,” he added.
“His time in the stands could help him, as it gives him a chance to look at the game. It's part of his education. He can see how the team plays and imagine his role in the team in the position he wants to play.”