Tielemans had been identified as Klopp's preferred option with all efforts going in to securing his signature, but Liverpool are reluctant to shell out a mammoth fee and are not considering an approach for him this summer.
The £64million-rated Belgian was said to have been pushing for a move to Anfield as per reports in his homeland, but any deal now appears dead in the water.
Leicester have already offered a new contract to Tielemans.
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