Liverpool are demanding top price for Caiomhin Kelleher.
The Republic of Ireland goalkeeper wants to leave Anfield this summer in search for regular senior football.
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Celtic are keen, but the Daily Mail says Liverpool's £35m asking price is regarded as too steep by the Hoops.
Instead, Kelleher could remain in the Premier League with Nottingham Forest also keen.
Forest had a £15m offer for Kelleher rejected by Liverpool in January.