The London club are hoping to refresh their attack in January or next summer.
According to The Independent, both Spurs and Leicester City are very keen on the Hammers attacker Bowen.
Spurs boss Nuno Espirito Santo has a good memory of Bowen, who performed admirably against Santo's Wolves side in recent years.
West Ham are likely to demand a significant fee for Bowen, as they also fend off transfer speculation surrounding midfielder Declan Rice.
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