Here are all the tube closures for Saturday:
Part closure - Northern line
Saturday 15 and Sunday 16 September, no service between Charing Cross and Camden Town.
Part closure - Jubilee line
Saturday 15 September, no service between Green Park and Stratford.
Part closure - District line
Saturday 15 September, no service between Edgware Road and Wimbledon.
Planned closure - Circle line
Saturday 15 and Sunday 16 September, no service.
Putney bridge is a NO GO so I recommend either drinking around the Kings cross/Covent garden/Leicester square areas then from there on to Hammersmith on the Piccadilly line, that's the closest tube station to the ground that will be open on Saturday.