But it is VERY doubtful that Boro will get Rangers to accept the offer, believed to be in the region of £1.5m.
Boyd, currently the top scorer in Scotland with 19 goals, is out of contract next summer when he can walk away from Ibrox on a free transfer.
But he is the star of their push for the title this season, and £1.5m seems nothing in comparison.
He has already been linked with alleged interest from several clubs in England, two of which are in the Premiership (Hull City and Wigan).
The 26-year-old is the highest goalscorer in the history of the Scottish Premier League, with 160 goals in 284 appearances with Kilmarnock and Rangers.