A replacement bus service has been laid on, and Chelsea fans could also travel by overground train from Liverpool Street station, but the nearest public transport to White Hart Lane is Seven Sisters on the Victoria line.
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Dave Johnstone, the editor of CFCuk fanzine said: "Theirs is already one of the worst grounds to get to so this doesn't help. The Tube needs improving but why couldn't they find another day?"
The closure also raises issues of security, with the two sets of fans having a recent history of confrontation and violence.
TfL said "London Underground liaises regularly with the police and will always try to ensure there is sufficient provision for events, taking into account expected attendance.
"It's inevitable some closures will have to be accommodated alongside other events."
A spokesman for CFCnet, a Chelsea fan website said: "Why haven't the authorities shown more common sense?
"There is only one way for all fans to get there by train and there is a history of trouble between these sets of fans.
"This is only going to cause the police more problems."