The 18-time English champions were 3-1 winners against Everton in the Merseyside derby on Saturday afternoon thanks to goals from Philippe Coutinho, Sadio Mane and Divock Origi.
Liverpool have beaten Arsenal, Burnley, Tottenham Hotspur and Everton in their last four Premier League games at Anfield to keep their top-four bid on track.
The Reds twice squandered a two-goal lead at Vitality Stadium back in December to lose 4-3 to Bournemouth in the Premier League after Nathan Ake’s dramatic winner.
The Merseyside outfit are sitting in third place above Pep Guardiola’s Manchester City side with eight games to go in the 2016-17 season.
Writing in his BBC Sport column ahead of Liverpool’s clash against Bournemouth on Wednesday night, former defender Lawrenson backed Klopp’s men to get the job done.
“Bournemouth might try to sit back a bit but the best thing about their team is the way they play when they come forward,” Lawrenson said.
“If they go on the attack then that will help Liverpool, and I also think Jurgen Klopp’s side have regained a bit of their belief from earlier in the season anyway.
“The Cherries will let them play and I think Liverpool will have too much for them.”
Liverpool finished in eighth place in the Premier League table last season.
Klopp signed seven players in the summer transfer window last year.
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