The South Korea international was absent from the midweek Europa League win over AZ Alkmaar due to being "a bit sore", and Ange Postecoglou has conceded that he is unlikely to make the cut this weekend either.
However, Son has not been ruled out of the clash entirely, and his presence would be a huge benefit to Tottenham given his previous exploits against the Eagles.
Here, Sports Mole takes a closer look at how the attacker has performed against Palace in the past.
Son Heung-min's record vs. Crystal Palace
Played: 17
Wins: 14
Draws: 2
Losses: 1
Goals: 9
Assists: 2
Footballers always say that the team is more important than any individual milestone, and in that sense, Palace are Son's favourite opponents to play against - he has been involved in a personal-high 14 wins from 17 games against the Eagles.
The South Korean has achieved more victories over Palace than he has any other team - Burnley are second on his list with 11 - while he has also been a part of two draws while only suffering one loss to the London outfit.
Son's individual statistics are not half-bad either, as the Spurs skipper has come up with nine goals and two assists in his previous 17 matches against Crystal Palace; only against Southampton (12) and Leicester City (10) has he scored more.
Son's affinity for a goal against Palace came right at the start of his Spurs career, as he hit the winner for Tottenham in a 1-0 triumph over the Eagles in September 2015, his first-ever goal in the Premier League.
The attacker drew a blank against Palace in his only appearance against them in 2016-17, but since then, he has managed at least one direct involvement in this fixture - be it home or away - in each of the last seven seasons.
Wearing the captain's armband, Son was on target in both victories over Palace in the 2023-24 season and has now found the net in four of his last five Premier League matches versus the Eagles, as well as setting up goals in both meetings in 2020-21.
In fact, the ex-Bayer Leverkusen man is the second-highest documented scorer in the history of this fixture, and he only needs three more to overtake Harry Kane (11) and become the outright leader.
Son's contributions against Palace have helped him reach 39 direct involvements (27 goals, 12 assists) in Premier League London derbies, and only four players have registered more in capital clashes in the competition.
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