The Liverpool legend, who now works as a pundit for BBC Sport, has backed Leeds to pick up all three points from the Premier League game against Palace at Selhurs Park in London courtesy of a 2-1 win.
Marcelo Bielsa’s side will head into the match against Palace on the back of a 4-1 defeat to Leicester City at Elland Road in the league.
Leeds are 12th in the Premier League table at the moment with 10 points from seven matches.
Meanwhile, Palace currently find themselves 13th in the standings with 10 points from seven games.
Roy Hodgson’s side will head into the match against Leeds on the back of a 2-0 defeat to Wolverhampton Wanderers away from home in the Premier League.
Lawrenson wrote on BBC Sport: “Crystal Palace have had the fewest shots of any team in the Premier League, with 57 in seven games, while only Liverpool have had more than Leeds with 96.
“They both have the same number of points though - 10 - so you can see that, while they have a different approach, they both have a style that is effective.
“It will be interesting to see what Eagles boss Roy Hodgson does here - will he completely allow Leeds to take the game to his side and then look to pick them off?
“That is what Palace did against Fulham last week but Leeds are a lot more dangerous.”
A footnote added: “Lawro’s prediction: 1-2”