De Telegraaf says Slot could bring his goalkeeper to England.
Liverpool are showing interest in Bijlow, 26.
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However, Arsenal are also said to be keen on the Dutchman.
Liverpool and Arsenal could be forced to replace Caoimhn Kelleher and Aaron Ramsdale respectively - who both want more playing time.
Bijlow, who is under contract until the summer of 2026, played 24 competitive games this season and kept nine clean sheets.