“The pressure is enormous. Liverpool have only lost one game this season, and it looks to me like the fear of winning the league is as it was with Brendan [Rodgers] a few years ago," Allardyce told talkSPORT.
“That is the big hurdle Klopp certainly faces – 'how do I mentally get my team over the line to try and win the league'.
“We thought they'd overcome those jitters in midweek when they won 5-0 [against Watford ], but there were one or two moments yesterday where you thought they were going to win the game – but clinically they weren't good enough.
“It looks like a little bit of fear to me."