Writing in his 'Premier League predictions' piece for BBC Sport, Lawro backed Graham Potter's Brighton to triumph 2-0 against Roy Hodgson's Crystal Palace.
Albion, who are yet to record a victory in 2020, are 15th in the Premier League and drew 1-1 at Sheffield United last week. Palace are 13th, nine points clear of the relegation places and beat Newcastle 1-0 at Selhurst Park last time out.
"Brighton have not won in 2020, but they are proving hard to beat," Lawro wrote. "They have drawn five of their seven league games this year.
"Crystal Palace have not been in great form either but I always thought they could come up with a result when they really needed it, and they did that when saw off Newcastle last week to end their long wait for a win.
"That stopped the Eagles' slide towards the relegation battle, and now Brighton badly need the same to give themselves a bit of breathing space at the bottom.
"I think the Seagulls will do it too - as a derby game, this one is always lively but they have a good record against Palace in the top flight and I have a feeling that will continue."
Lawro's prediction: 2-0