Los Blancos are reportedly keeping close tabs on Gomez’s situation at Anfield ahead of a possible move next summer.
The Daily Mail reports that the Spanish giants could now be interested in testing Liverpool’s resolve next summer.
The 24-year-old has fallen down the pecking order due to a knee injury which ruled him out for the majority of last season.
He has made just nine appearances across all competitions this season and is yet to start a Premier League game in 2021-22.
Speculation has grown over whether the England international might look to leave the Merseyside on loan in search of more regular first-team football.
Gomez possesses a contract until the end of June 2024.