The Nigerian has been loaned out twice in three seasons after joining the Blues in 2012, and is considered surplus to requirements at Stamford Bridge.
West Ham United had been favourites to secure a deal, however various sources have linked Spurs to a late swoop for the 24-year-old from under the noses of their London rivals.
Both Tottenham and West Ham are open to an initial loan move for Moses, with a view to a permanent deal next summer.
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