The 30-year-old Hungary internationalist has previously played for Bolton Wanderers and Wigan Athletic and has been at Anfield since 2015.
Hibs boss Neil Lennon told the club website: "Adam is a very experienced and dependable goalkeeper and one I am pleased to have brought in ahead of the season getting started.
“Having previously worked with him at Bolton I know that we are bringing in a quality player with experience playing at a high standard, including representing his country.”
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