With staff taking industrial action there will be a reduced service on a number of lines, leaving Fulham concerned about fan safety.
In a statement the club said: "The club can confirm that it is currently proceeding on the basis that the game will go ahead.
"However, the club has concerns over the potential impact that the strike may have on the ability of its safety staff to attend the ground in sufficient time and numbers to ensure that it is able to open the ground and effectively operate it, from the time that the gates are open to the public until the departure of all supporters.
"After consulting with the local authority and the Metropolitan Police, it has been decided that if the proposed action is still undetermined at 3pm tomorrow (Tuesday), and the club cannot guarantee enough staff are available to attend the ground in sufficient time and numbers, then as a consequence the club would not be able to comply with the terms of its safety certificate and the fixture would be postponed and rescheduled for a future date.
"A further statement will be released at 3pm on Tuesday to confirm whether the game will go ahead or be postponed."
Tube staff are mounting a 48-hour strike over redundancies for the second week running.
Arsenal have confirmed they expect their match with Manchester United on Wednesday to go ahead as planned.