The Reds have been in decent form in recent weeks and head into this weekend’s round of games on the back of their 1-0 win over West Brom last weekend.
That victory left Jurgen Klopp’s men in third place in the Premier League table as they chase a top-four finish in the German coach’s first full season in charge at Anfield.
Liverpool now turn their attentions back towards Premier League affairs and their home clash against Crystal Palace at Anfield on Sunday afternoon.
And Arsenal legend Parlour is expecting the Reds to get all three points against Sam Allardyce’s men.
Speaking on the Alan Brazil Up Front podcast, Parlour said: “I do [expect Liverpool to win]. Palace have to be careful but they should be safe now.”
Liverpool finished eighth and without a trophy last season despite reaching the Europa League and EFL Cup finals under Klopp.
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