The report adds Klopp believes the full-back, who has been left out of tonight's squad to face Huddersfield, would benefit from a year away from Anfeild.
Flanagan was handed a new contract in March after he personally impressed Klopp.
And although the German sees the defender in his long-term plans at Anfield, he is currently behind Nathaniel Clyne in the pecking order.
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