The 29-year-old has been linked with a London Stadium exit this month, and should the China switch fall through, bookmakers Betfair reckon a move across town to north London is very much possible.
And Tottenham are priced 10/1, ahead of Chelsea (14/1), Manchester United (25/1)and Everton (33/1) to swoop.
Spurs are without the injured Harry Kane, Son Hueng-Min is currently at the Asia Cup with South Korea, while Dele Alli could miss a couple of games after he picked up a knock against Fulham.
Manager Mauricio Pochettino could be forced to make signings as a result in order to try and replace some of the trio’s goals, and Arnautovic fits the bill given how much of a constant threat he is in the final third.
Nevertheless, Arnautovic could still be open to leaving the Hammers this month, and a move to Tottenham will most likely excite and tempt him.
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