The trip to Victoria Park follows a clash with Darlington on Wednesday, July 11 at Blackwell Meadows, with kick-off at 7.30 pm.
Sunderland will also face League Two side Grimsby Town at Blundell Park on Tuesday, July 17. That game is also a 7.30 pm kick-off.
The clash with National League Hartlepool will kick-off at 3pm and sees Ross return to the club where he spent time as a player.
Further games are to be announced in due course.
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The Black Cats squad are due to return later this month to begin pre-season training, and will also take part in a training camp in Portugal.