Spurs had initially considered Min-jae in the summer following Jan Vertonghen’s departure but decided against a move at that time due to Beijing Guoan’s asking price.
Premier League done deals: Every confirmed transfer in the top flight
The centre-back was also wanted by Lazio in the summer but with the rising star an international colleague of Heung-min Son, Spurs will be hoping they have the edge over any other potential suitors.
The Mirror claims Chelsea are considering a move for the 30-cap international which might force Spurs into making a move in this window.
Tottenham are away to Sheffield United on Sunday (2pm) after conceding late on to draw 1-1 against Fulham in midweek.