The opposition at Elland Road this time will be Costa Rica, who were, in fact, the shock winners of England's group at the last World Cup.
Nigeria will visit on June 2 while England will face Costa Rica at Leeds United's ground on 7 June.
"England is a very strong team presently and I believe they will give us a very good match", he continued.
"We're going into a World Cup where we will play African and Central American opposition", Southgate said.
The Three Lions will play the Super Eagles five days before facing Costa Rica in another friendly at Elland Road.
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Costa Rica won England's group at Brazil 2014, being held to a 0-0 draw by Roy Hodgson's team in Belo Horizonte in the final "dead rubber" tie after England had already been knocked out, before suffering a penalty shoot-out elimination against Holland in the quarter-finals. "All of the feedback from the team before Euro 2016 was really positive, the players enjoyed it and it was definitely well received by the public", added Southgate.
Do you remember the last time England played at Elland Road?
"We're immensely proud to play the majority of matches at Wembley as our national stadium - and it's always special".
England have clashed twice at full worldwide level with Nigeria - a 1-0 win against the Super Eagles in 1995 at Wembley and a goalless draw at the 2002 World Cup.