The Express' Charles Perrin reports that Andre Villas-Boas has signalled to Spurs chairman Daniel Levy that the London-based club are in need of another striker, with Rossi atop his list.
Tottenham splashed out on Roberto Soldado in the summer, but the Spaniard has so far failed to impress—converting most of his Premier League goals from the penalty spot.
Villas-Boas' side have struggled in front of goal this season and will look to bolster their attack as they aim for Champions League qualification.
With Jermain Defoe tipped to join MLS side Toronto in January, Andre Villas-Boas may look to bolster his frontline.
And it seems Spurs, who have also been linked with Paris Saint-Germain frontman Ezequiel Lavezzi, could plot an ambitious move for Rossi.
Tottenham technical director Franco Baldini is rumoured to be laying the foundations for the move and will hope to complete the deal come the turn of the year.