Liverpool are earning a reputation for their formidable attacking prowess especially after the 4-0 win over Arsenal last month.
Defensive woes have cost them in recent years and on the opening weekend of the season, they drew 3-3 with Watford after going 3-1 in front.
But they have got back-to-back Premier League clean sheets in the wins over Crystal Palace and Arsenal, and manager Jurgen Klopp will be hopeful his side’s defence is strong enough to mount a sustained title challenge.
However, Allardyce has his doubts.
The former England and Bolton boss told talkSPORT: “My only concern about Jurgen Klopp’s side is, defensively, are they sound enough to win the Premier League?
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“Certainly from a possession, attacking and flair point of view, they have got it all. They have got goals and great energy. But set-pieces against seem to be a big problem for them.
“No matter how well they play against the opposition they switch off on a set-piece and that could end up costing them a lot of points.
“The game is played two ways: one is played in possession and one is played out of it. You have got to be masters of both of those if you are going to win the Premier League.
“The Premier League is generally won – certainly over the last ten, 15 years – by the team with the best defensive record.”