The Daily Mirror claims Los Blancos will swoop for the 18-year-old ahead of interest from the Saints’ Premier League rivals.
Shaw would become the second Southampton youth product to sign in at Santiago Bernabeu, joining Gareth Bale.
No fee is mooted by the newspaper, who add Chelsea were considered the favourites for Shaw’s signature.
Should he move to Stamford Bridge, Shaw would compete with Spain international Cesar Azpilicueta for the left-back berth.
Azpilicueta has been preferred to Ashley Cole in recent weeks despite being naturally right-footed.
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- Sports & Recreation
- Tottenham Hotspur
- Cesar Azpilicueta