Brighton & Hove Albion have impressed so far this season, winning three out of a possible four, while Leicester City are unbeaten.
While writing his weekly predictions piece for BBC Sport, he has claimed he believes the two sides will play out a fiercely-fought 1-1 draw on the south-coast this weekend.
Lawrenson wrote: “Leicester are almost expected to win these kind of games now, but I don't think it will be straightforward for them at all.
“Brighton left it very late to beat Brentford last time out but they have a bit of momentum now after winning three of their first four games."
1. Aston Villa linked with move for £25k p/w midfielder from Championship
Aston Villa have been linked with a move for Reading's John Swift. The Premier League side failed to land the midfielder last summer and are aware he is out of contract at the end of the season, so Dean Smith's side could be prepared for a cut-price move in January. (Football League World)
Photo: Alex Davidson
2. Thomas Tuchel confirms Chelsea held talks with Premier League star this summer
Thomas Tuchel has confirmed that Chelsea held talk with Harry Kane's representatives over a summer move, however he always believed the striker would join Manchester City. Kane eventually chose to stay with Tottenham Hotspur. (Sky Sports News)
Photo: Getty Images
3. Liverpool open contract talks with midfielder
Liverpool have reportedly entered negotiations with Naby Keita over a new deal with the club to avoid him potentially leaving for nothing. The 26-year-old joined the Reds for £52 million in 2017 and has two years left on his contract. (MailOnline)
Photo: Shaun Botterill
4. Everton tried to bring Champions League winner back to the Premier League this summer
Everton reportedly tried to sign David Luiz on a free this summer and were competing with the likes of West Ham, Real Madrid and Marseille. The former Chelsea defender eventually signed for Brazilian side Flamengo. (Football Transfer Tavern)