Arsenal will take on Palace at the Emirates Stadium in North London in the Premier League on Thursday evening.
The Gunners will head into the game on the back of a 2-0 win against Newcastle United at home in the third round of the FA Cup.
Mikel Arteta’s side are 11th in the Premier League table at the moment with 23 points from 17 matches, nine points behind fourth-placed Everton.
Meanwhile, Palace currently find themselves 13th in the standings with 22 points from 17 games.
The Eagles will head into the match against Arsenal on the back of a 1-0 defeat to Wolverhampton Wanderers away from home in the third round of the FA Cup.
Liverpool legend and BBC Sport pundit Lawrenson believes that the Gunners will pick up all three points from the encounter courtesy of a 2-0 win.
Lawrenson told BBC Sport: “Arsenal cannot stop winning now - they needed extra time to beat Newcastle in the FA Cup on Saturday but that is four wins in a row in all competitions. In contrast, Crystal Palace are not on a great run - their win over Sheffield United on 2 January is their only success in their past seven games.
“But, for many reasons, I don’t think they need to worry about being dragged into the relegation fight - chiefly their manager Roy Hodgson and their exciting front three.”