The Gunners will make the long trip to Merseyside looking to end their four-game winless run on the road in the Premier League in the 2017-18 season so far.
The north London outfit lost 1-0 at Stoke City before a resounding 4-0 defeat at their top-four rivals Liverpool in their last Premier League game at Anfield in August.
Arsenal were credited for a resilient performance in a goalless draw with defending Premier League champions Chelsea at Stamford Bridge to end their losing run.
The Gunners squandered a 1-0 lead to lose 2-1 to Watford at Vicarage Road last weekend as goals from Troy Deeney and Tom Cleverley secured three points for the Hornets.
Everton are in 16th place following a return of two victories in their opening eight games in the Premier League this term.
Former Liverpool defender Lawrenson is tipping Everton to secure a point against Arsenal in the Premier League in Sunday’s early kick-off at Goodison Park.
“Both of these teams have issues, but Everton probably have more to worry about,” Lawrenson told BBC Sport.
“Arsenal can be undone when teams attack them and play physically, like Watford did last week, but you would not look at the Gunners and say they are unbalanced or short of goals like Everton are.
“I think what will help the Toffees on Saturday is that Goodison Park will be roaring – it always is against the big teams.
“There will be a different atmosphere to when Everton have played, say, Bournemouth or Burnley this season, and I think it will give them some much-needed impetus.”
Arsenal finished in fifth spot in the Premier League table last season.
Everton were 2-1 winners against the Gunners at Goodison Park in their Premier League meeting last term.
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