The Mirror says Stoke are prepared to let Butland leave and the former England goalkeeper has slipped to second choice at the bet365 Stadium under Michael O'Neill.
The Potters would like a permanent deal because a loan would be pointless with Butland's contract due to expire in June.
However Stoke have not received any acceptable offers for Butland, whose form has nosedived over the last two seasons.
Liverpool have ruled out signing Butland to replace Adrian as the injured Alisson's understudy and they never considered buying him.
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