Talks broke down between London Underground and the Rail, Maritime and Transport (RMT) union on Monday and tube workers will walk out at 21:00.
Travelling Newcastle fans could be particularly badly affected as it is thought that disruption to Underground services could begin before the official walk-out.
A statement on Arsenal's website issued the following travel advice to both sets of supporters: "TfL has plans to ensure London can keep moving during these periods but supporters are advised to expect significant disruption.
"Strike action will commence from around 2100 on Monday, 28 April and continue throughout the whole of Tuesday 29 and Wednesday, April 30. Services will not return to normal until the morning of Thursday, May 1.
"Supporters are advised that tube services may be affected at stations around Emirates Stadium before kick-off and are strongly urged to identify other means of transport for their homebound journeys following the match, as it is unlikely that there will be any Tube services in operation.
"Possible alternatives include walking to King's Cross, St. Pancras International, Liverpool Street and Euston to connect with National Rail and local bus services.
"First Capital Connect train services will be operating from Finsbury Park as normal but please note they are expected to be much busier than normal."
Supporters are advised to visit tfl.gov.uk or follow @TfLTravelAlerts for the latest travel information.