Andre Villas-Boas was linked with a move for the versatile forward over the summer, but instead elected to move for a number of other targets as he went about his £108m White Hart Lane overhaul.
However, the Portuguese coach is now ready to reignite his interest in the 22-year-old, with winter additions believed to be on his list of priorities.
Rodrigo – who enjoyed a brief loan spell in England with Bolton during the 2010/11 season – has been impressive for the Lisbon giants, attracting attention from across Europe.
AVB is believed to be planning for life without Emmanuel Adebayor and Jermain Defoe – his only backups to star forward Roberto Soldado – and sees the Spaniard as the ideal man to provide an alternative option.
Rodrigo has a £40m buyout, but it is expected that he’ll be available for below that figure.
Spurs have had scouts sent to watch the ex-Real Madrid youth player ahead of a potential move.
Villas-Boas is also believed to be keen on Internacional striker Leandro Damiao.
The Londoners have been linked with the Brazilian international for some time, but are still thought to be in the race for his signature despite seeing an offer rejected earlier this year.
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