The Daily Telegraph reports Keane is now seen as the ideal man to bring goals and a winning mentality to Upton Park.
The Republic of Ireland striker rejoined Tottenham for £12 million at the start of last year, but has lost his place at White Hart Lane.
Tottenham will reportedly use the deal with West Ham to try and tempt Scott Parker to move in the other direction - but the Hammers are adament that is not an option.
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Meanwhile, Barcelona are said to be contemplating a £10m move for Arsenal midfielder Denilson. (Daily Mail)
The Spanish champions have reportedly been put off Cesc Fabregas by his price tag and now see Denilson as the ideal man to bolster their midfield options.
Barca have recently signed a lucrative sponsorship deal with The Qatar Foundation, so funds should be available for transfers.