Roberto has only played 17 minutes in La Liga this season and has been linked with a move away from the Nou Camp.
The Spanish newspaper claim Spurs have asked Barcelona if they can take the 21-year-old on loan in January, while Manchester United have previously linked with a move to take the midfielder permanently.
However Barcelona are unlikely to relent and have told Spurs and Manchester United that Roberto won't be allowed to move.
Barcelona boss Tata Martino is believed to have told Roberto that he must be patient and wait for his chance to shine at the Nou Camp, and that he will get his chance sooner or later now that Thiago Alcantara has left to join Bayern Munich.
Manchester United failed with their attempts to land Alcantara during the summer transfer window.
According to Mundo Deportivo, Martino has held private talks with Roberto, whose contract expires in 2015, to assure him over his future.
Tottenham have also been linked with a move for another Barcelona youngster, Marc Bartra, and are reportedly interested in taking him to White Hart Lane on loan as well.