The north London side head into the game fresh from their impressive 2-0 victory over Tottenham Hotspur at The Emirates last weekend in the north London derby.
That result left the Gunners in sixth place in the Premier League table and still 12 points behind leaders Manchester City.
Arsenal were beaten 1-0 by Cologne in Germany in the Europa League on Thursday night but still progressed through to the last 32 of the competition as group winners.
Burnley have been in good form in recent weeks and former Liverpool star Lawrenson is tipping them to hold the Gunners to what would be a frustrating draw for Arsene Wenger’s men.
Writing in his column for BBC Sport, Lawrenson said: “Burnley’s good form continued with their win against Swansea last weekend, and the Clarets deserve all the plaudits they are getting because they are playing some good football too.
“I am looking forward to seeing how Arsenal try to deal with Sean Dyche’s side, who are level on points with them in the table.
“Going to Turf Moor will be a real test of the Gunners’ resolve after their impressive win over Tottenham in the north London derby.
“Mesut Ozil was great for Arsene Wenger’s side in that game but his issue is not his quality, it is his consistency.
“Ozil has got to hit that level of performance and influence in seven out of every 10 games he plays, not one in five – which he seems to do at present.”
Arsenal are aiming to win the Premier League title this season for the first time since their famous unbeaten triumph in the 2003-04 campaign.
The Gunners finished in fifth place in the Premier League table last season as they missed out on a place in the Champions League for this term.
Arsenal have, however, won the FA Cup for three of the last four season, and beat Chelsea in the final in May.
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