The governing body announced the national side will take on African opposition at the home of Barclays Premier League side Fulham. The Scots will continue their preparations for the Euro 2016 qualifiers against the Brazil-bound Nigerians, who have qualified for their fifth World Cup finals tournament.
Victory against Poland in mid-week was the fourth game in a row that Scotland have kept a clean sheet and follows away wins over Croatia, Macedonia and Norway. Strachan believes the match presents another opportunity to test themselves against quality opposition before their group opener against Germany in September.
The Scotland manager said: "We considered a lot of options but the chance to play Nigeria, a country who will be going to the World Cup this summer, in London without the need for long-haul travel, was the one that appealed most."