London Underground drivers are set to stage three strikes over Bank Holiday pay, with the first scheduled for December 26.
The move by members of the union Aslef threatens travel chaos in the capital and Arsenal admit their game at the Emirates Stadium is under threat.
"Arsenal Football Club is currently in discussions with the Premier League, West Ham United, police and relevant authorities over the possible postponement of the Boxing Day fixture at Emirates Stadium, following the announcement that London Underground drivers plan industrial action on that day," a statement on the club's website read.
"The match is in doubt due to the difficulties of getting 60,000 supporters, plus matchday staff and employees to the stadium safely in the advent of disruption to public transport on a public holiday.
"The club will make a further announcement as soon as a final decision is made."