The 29-year-old wasn't keen on a move to White Hart Lane in the summer, agent Jose Fuentes revealed this week, but his lack of match action this season has changed the landscape.
Fabiano signed a new contract with the Spanish club as the summer transfer window was drawing to a close, but he has since started just one La Liga game.
Samba star: Brazilian Fabiano was linked with Spurs for most of the summer
While the 6ft centre forward would rather join Manchester United or AC Milan, concrete interest in the summer came from Spurs, Schalke and Marseille.
And Fuentes warned Sevilla: 'If the situation does not change, we will be obliged to look for the exit door.'
The Spanish club remain relaxed, with sporting director Ramon Rodriguez insisting the former Rennes striker is still happy at the Ramon Sanchez Pizjuan stadium.
But Harry Redknapp made no secret of his admiration for Fabiano in the summer and the transfer window closed without the Spurs manager managing to improve his forward line.
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