Crowd problems will be exacerbated with supporters heading for the England v Slovenia football match at Wembley Stadium that night.
The union has refused to rule out further walkouts. Attempts to try and reach a deal continue.
A spokesman for TfL said: “We are advising customers that the whole Tube network will be substantially disrupted on Thursday 5 October should planned strike action by Aslef members go ahead.
"All other TfL services will be unaffected but many will be busier that usual as customers seek alternative routes.”
Extra buses and Santander Cycle hubs are being provided.
