The report claimed that the Gers have opened talks with Hamilton over a £600,000 deal for the Scotland Under-21 international midfielder.
The Gers will have to move quickly and wrap up the deal if they are so keen on signing him, as latest reports from the Daily Record suggest that Rangers could face competition from English clubs Swansea and Millwall.
Swansea are struggling in the Premier League and are looking to bolster their squad in the January transfer window.
The report claims that no official bid has been tabled yet but Hamilton are expecting a formal offer to be made on Monday, with a number of clubs showing interest.
Rangers fear that they could be outpriced if English teams turn it into an auction. Most importantly, Docherty could be tempted to move to the Premier League.
Thus, Rangers need to act quickly, and get the deal done at the earliest because Docherty is a very talented and promising young midfielder.
Rangers are third in the Scottish Premiership table with 40 points, 11 points behind arch-rivals Celtic.