The 44-year-old is currently one of the most sought-after coaches in world football and has been strongly tipped to succeed Klopp at Anfield in recent months.
Liverpool will part ways with Klopp at the end of the season and are now searching for alternatives to their former first-choice managerial target Xabi Alonso, who announced last week that that he will be staying at Bundesliga leaders Bayer Leverkusen.
De Zerbi succeeded Graham Potter as Brighton boss in September 2022 and secured European football for the first time in the club's history last season courtesy of a sixth-placed finish in the Premier League.
The Italian led the Seagulls to the last 16 of the Europa League earlier this term, and his side are still challenging for a top-seven finish in the Premier League, sitting ninth at present and only two points behind the European positions.
Recent reports have suggested that De Zerbi was viewed by Liverpool as a primary alternative to Alonso, but Sky Sports News now claims that the Brighton boss is 'not their focus' as the Reds have turned their attention to other candidates.
It is thought that Liverpool will consider stepping up their interest in Sporting Lisbon's highly-rated head coach Ruben Amorim, who has also attracted interest from Barcelona.
De Zerbi remains a target for Bayern Munich, though, with Sky Germany claiming that both the Italian and Julian Nagelsmann are the top-two candidates to succeed Thomas Tuchel this summer.
The report states that Bayern sporting director Max Eberl hold a 'high opinion' of De Zerbi, who allegedly possesses a release
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