It seems to stem from the rumours that the ex-England keeper is unhappy at Ewood Park after the club made enquiries about their old keeper Brad Friedel, according to Sky Sports.
Speculation has it that Rovers are looking to swoop for Friedel from Tottenham in January and bring him back to Ewood as a player/coach. A move which may appeal to the big American after losing his place at White Hart Lane to Hugo Lloris.
If such a move came about then it would be likely that Robinson would be allowed to leave on a free.
Fulham, West Ham and West Brom are thought to be weighing up moves.