The report claims that the Gers boss Steven Gerrard would like to keep Tavernier, but would be willing to listen to any offers over £3.5 million for the right-back.
Rangers are already lining up Jon Flanagan as potential replacement. The 25-year-old was released by Liverpool last month and he would be available on a free transfer.
Rangers have the Scottish Premiership’s best right-back in Tavernier and he has been a revelation over the last two seasons.
From a weak link in the side, he is now a key player for the Gers. Solid in defence, he has been one of Rangers’ best attacking outlets.
In a crazy transfer market where even average players have inflated price tags, £3.5 million for Tavernier would be an absolute steal.
Rangers would be making a huge blunder if they sell a player of his calibre at such a snip price.