Mauricio Pochettino’s men currently find themselves in third place in the Premier League table heading into this weekend’s round of fixtures after having won their last two games in the top flight.
The Lilywhites have won four, drawn two and lost one of their opening seven top-flight games to leave them five points behind leaders Manchester City.
The north London side are preparing to welcome Eddie Howe’s Bournemouth team to Wembley on Saturday afternoon as Spurs look to make it three wins on the spin in the Premier League.
Bournemouth are 19th in the table, having only picked up one win so far this season.
And former Liverpool star Lawrenson is fully expecting to see Tottenham secure all three points with a 2-0 victory over the Cherries at Wembley this weekend.
Writing in his column for BBC Sport, Lawrenson said: “Tottenham are still waiting for their first Premier League win at Wembley, but I think it will soon be over because I just don’t see Bournemouth holding out the way that, say, Swansea did last month.
“For one thing, the Cherries concede goals quite easily, and then you consider Spurs striker Harry Kane and the kind of form he is in.
“And Spurs have to win this one, really. They have already dropped points at home to the Swans and Burnley – they cannot afford another slip-up.”
Tottenham are aiming to win the Premier League title this season after they fell short last term and ended up second, behind Antonio Conte’s Chelsea side.
Spurs are playing their home games at Wembley this season while the redevelopment of White Hart Lane is completed.
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