Slovakia should be testing opponents for Fairclough's side. The only previous meeting was in May 2014 in Poprad with the home side winning 1-0 in a hard-fought encounter.
Both sides have begun their qualifying games with victories, England winning 2-0 against Ukraine in Kiev, and Slovakia defeating Estonia 4-0.
England C v Slovakia U21s
International Challenge Trophy
Gander Green Lane, Sutton United
2pm Sunday 5 June
Admission free
England's head coach Paul Fairclough said: "I have heard excellent reports on the quality of the surface at Sutton and we are looking forward to visiting Gander Green Lane in June.
"We have good memories of playing on an artificial surface as we beat Finland U21s 2-0 in Helsinki back in 2007."
Sutton United are riding high in the Vanarama League National League South, bidding for a return to non-league's top-flight division, which they last graced in the 1999-2000 season.
Sutton United chairman Bruce Elliott said: "Coming at the end of such a successful first season with our 3G surface, this is a tremendous honour for Sutton United.
"We are delighted to have been asked to stage the game, and look forward to welcoming everyone involved to Gander Green Lane in June."
Admission to the game will be free and, with the two nations set to face each other at Euro 2016, it is hoped that as many supporters as possible will come along and whet their appetite ahead of the Finals in France later in the month.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.
Sutton United are riding high at the moment topping the Vanarama League National League South looking for a return to non-league's top flight division which they last graced in the 1999-2000 season.