Sam Johnstone is keen to run down his contract with West Bromwich Albion.
The 28-year-old is considered one of England's best goalkeepers and has attracted attention from Premier League clubs.
Johnstone is prepared to stay at the Hawthorns and leave for free next summer.
The Telegraph says West Ham are front of the queue to sign the Three Lions goalkeeper.
Tottenham have also been strongly linked with the former Manchester United youth.
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