Heung-Min Son is working with Tottenham over the possibility of completing his mandatory four-week military service during his return to South Korea.
The 27-year-old was given exemption from the extended 21-month military service after he won the gold medal with South Korea in the 2018 Asian Games.
However, he still needs to complete a four-week service and that could begin if the Premier League confirms the season is suspended beyond April 30.
The top flight has been halted since March 9 and league chiefs have agreed with English Football League (EFL) counterparts and player representatives that a resumption will take place only when "safe and appropriate to do so".
Son was given permission by Spurs to return to South Korea for "personal reasons" last weekend as he recovers from a fractured arm he suffered during their 3-2 win against Aston Villa in February.