The Gunners are desperately in need of a Premier League win to ease mounting pressure on Unai Emery.
Arsenal have only managed to win one of their last six Premier League games to raise questions about the Spanish head coach’s future.
The north London side’s last Premier League victory was a 1-0 win against Bournemouth at The Emirates last month.
Arsenal will take on a Southampton side lacking confidence after they suffered a 9-0 loss to Leicester City before successive 2-1 defeats by Manchester City and Everton.
Southampton have already conceded 29 times in 12 games, which amounts to the worst defensive record in the Premier League this season.
Former Liverpool FC defender Lawrenson is backing Arsenal to secure a straightforward 2-0 victory over Southampton at The Emirates on Saturday afternoon.
“If you had told me at the start of this week that one of the big clubs would be sacking their manager, I probably would have said it would be Arsenal and Unai Emery,” Lawrenson told BBC Sport.
“I think Arsenal will win this game easily enough because of their firepower and the fact Southampton are in a mess – they have taken only one point from their past seven league games.
“But I don’t think that victory on Saturday will mean Arsenal’s problems are over. They are still far too much of a soft touch at the back.”
Arsenal are looking to secure a top-four finish for the first time in three seasons.
Emery’s side finished in fifth spot in the Spanish head coach’s first season in charge.
The Gunners are in sixth place and eight points behind fourth-placed Manchester City.
Arsenal have lost to Sheffield United and Leicester City and drawn with Crystal Palace and Wolves in their last four games.
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