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Speaking to Daily Record, the 20-year-old explained that he had the chance to join the Scottish giants after leaving Newcastle United.
Apparently, Rangers called him up and asked him to join the club.
Tavernier has impressed with Middlesbrough in the Championship this season. He has 2 goals and 4 assists to his name already.
The youngster opened up about his time at Newcastle as well and how he was disappointed after the Magpies decided to let him go.