Klopp, who is tied to the club until 2022, has revealed he plans to take a year’s sabbatical from football to recharge his batteries when he leaves Anfield.
The manager joined Liverpool in 2015 and, having spent exactly seven years at previous clubs Mainz and Borussia Dortmund, there is already speculation he could walk away from the Reds in three seasons.
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However, Liverpool fans will be reassured by the fact the 52-year-old has seen out his contracts at his two former clubs.
But there will come a time in the near future when the Anfield hot-seat is up for grabs and Dudek believes Gerrard is the ideal candidate for the job.