Spanish newspaper AS reports how the 21-year-old is eager for more regular action after failing to cement his place in the first-team at Camp Nou this season.
Spurs boss Andre Villas-Boas wants to bring the Spain U21 international to White Hart Lane as he continues his rebuilding project in north London.
Roberto is regarded as a future star, but has seen his route into Tito Vilanova's starting XI constantly blocked by the likes of Xavi Hernandez, Andres Iniesta and Sergio Busquets.
Tottenham might look to capitalise on the player's frustration at Barcelona, and try to prise him to the Premier League as soon as the transfer window reopens on July 1.
The offer of more regular football might tempt Roberto to England, while the opportunity to play in the Champions League will also be central to his thinking, meaning Spurs must finish in the top four if they are to have any chance of securing his signature.