The 20-year-old has had surgery to correct a problem initially sustained on global duty during his third appearance for the England senior side in March's friendly with Holland.
Gomez played through the pain barrier in those matches, and has now been forced to undergo surgery after aggravating the problem.
The 20-year-old defender never fully recovered from the problem he sustained while on worldwide duty with England, and the injury was aggravated in recent Premier League games against West Bromwich Albion and Stoke City.
With him out of the reckoning, Klopp has to decide between the in-form Alexander-Anrnold and fit-again Clyne for the Champions League final with Real Madrid in Kiev on May 26.
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Gomez, who has played at both centre-back and right-back this season, has made 31 appearances across all competitions. He managed just 10 minutes against Netherlands before sustaining his original injury.
For Gareth Southgate, it is also a significant setback.
The Bayern Munich defender injured an adductor muscle in his left thigh in the Champions League semi-final first leg defeat to Real Madrid late last month and is expected to be out between four and six weeks.
Unless Klopp's best friend David Wagner and his Huddersfield side can pull off a surprise win at Stamford Bridge on Wednesday, then Liverpool go into Sunday's game knowing they must at least match Chelsea's result against Newcastle, managed by former Reds boss Rafael Benitez. Spurs face Newcastle on Wednesday, while the Blues take on Huddersfield Town.