Scott Brown scored his second Scotland winner in two games as Gordon Strachan's side beat Euro 2016 group rivals Poland
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Gordon Strachan will look to guide Scotland to their sixth game without defeat when they face Nigeria on May 28 after the Scottish Football Association confirmed the Craven Cottage friendly.
The governing body has announced the Dark Blues will face the Super Eagles in London at the home of Barclays Premier League side Fulham.
Borussia Dortmund striker Robert Lewandowski has been ruled out of Poland's squad for the friendly against Scotland.
Lewandowski was present as Poland launched their new strip in Warsaw but he will be back in Germany when Scotland face their Euro 2016 rivals after failing to overcome a knee strain.
Wales have been drawn in Group B alongside top seeds Bosnia-Herzegovina. Scotland, meanwhile, face Germany, a much tougher task.
Scotland captain Darren Fletcher has been recalled to the international squad for a friendly against Poland next month.
The Manchester United midfielder is back in the fold after fighting against ulcerative colitis.
Scotland team: Marshall (GK), Hutton, Whittaker, Martin, Greer, Adam, Anya, Brown (Cpt), Naismith, Snodgrass, Bryson
Kris Boyd will end a three-year international hiatus by joining the Scotland squad ahead of their game against Norway on Tuesday. Boyd replaces Steven Fletcher who has been allowed to return to his club Sunderland.
The 30-year-old last appeared for his country in September 2010.
– Kris Boyd
I never gave up hope of playing for my country again and I am grateful to Gordon (Strachan) for giving me that chance
– Gordon Strachan, Scotland manager
Kris has always said he was determined to return to the international squad. Now he has that opportunity again and I am delighted for him